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Dara ran on a treadmill that had a readout indicating the time remaini [#permalink]
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14 Apr 2016, 08:03
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Dara ran on a treadmill that had a readout indicating the time remaining in her exercise session. When the readout indicated 24 min 18 sec, she had completed 10% of her exercise session. The readout indicated which of the following when she had completed 40% of her exercise session? A. 10 min 48 sec B. 14 min 52 sec C. 14 min 58 sec D. 16 min 6 sec E. 16 min 12 sec
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Re: Dara ran on a treadmill that had a readout indicating the time remaini [#permalink]
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14 Apr 2016, 08:13
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90% of the exercise should be completed in 24min 18 sec (1458 sec)
When she completes 40% of her exercise timer should show the time remaining for 60% of her exercise.
If 90% requires 1458 sec then 60% requires > (60 * 1458)/90 = (2/3)*(1458) = 2 * 486 = 972 secs
Required answer = 972/60 = 16 min 12 sec
Answer: E



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Re: Dara ran on a treadmill that had a readout indicating the time remaini [#permalink]
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05 May 2016, 10:01
CoffeeCreamSugar wrote: Dara ran on a treadmill that had a readout indicating the time remaining in her exercise session. When the readout indicated 24 min 18 sec, she had completed 10% of her exercise session. The readout indicated which of the following when she had completed 40% of her exercise session?
A. 10 min 48 sec B. 14 min 52 sec C. 14 min 58 sec D. 16 min 6 sec E. 16 min 12 sec Let's call 24min and 18sec Y. 24min and 18 sec are: 243/10. Dara completed 10% of her session, so: 243/10 = 9x/10 x=27 min. 27Y= 2min+42sec If Dara completed 40% of her session, the she worked for 4*(2min+42sec) so that the rest of her session will be: 27min10min&48sec = 16 min 12 sec
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Re: Dara ran on a treadmill that had a readout indicating the time remaini [#permalink]
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05 May 2016, 19:23
24.3 minutes/.9=27 minutes=total time of session (27)(.6)=16.2 minutes=time remaining when session is 40% completed 16.2 minutes=16 min 12 sec



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Re: Dara ran on a treadmill that had a readout indicating the time remaini [#permalink]
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05 May 2016, 20:22
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CoffeeCreamSugar wrote: Dara ran on a treadmill that had a readout indicating the time remaining in her exercise session. When the readout indicated 24 min 18 sec, she had completed 10% of her exercise session. The readout indicated which of the following when she had completed 40% of her exercise session?
A. 10 min 48 sec B. 14 min 52 sec C. 14 min 58 sec D. 16 min 6 sec E. 16 min 12 sec Do a more efficient single calculation: 24 min 18 sec is 90% of her exercise time. When she completes 40% of her exercise session, the readout will indicate 60% of the time. So we need \(\frac{6}{9} * 24(\frac{18}{60}) = \frac{81}{5} = 16 ( \frac{1}{5}) = 16 (\frac{12}{60}) =\)16 min 12 sec *Edited a calculation error.
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Re: Dara ran on a treadmill that had a readout indicating the time remaini [#permalink]
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06 May 2016, 08:03
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VeritasPrepKarishma wrote: CoffeeCreamSugar wrote: Dara ran on a treadmill that had a readout indicating the time remaining in her exercise session. When the readout indicated 24 min 18 sec, she had completed 10% of her exercise session. The readout indicated which of the following when she had completed 40% of her exercise session?
A. 10 min 48 sec B. 14 min 52 sec C. 14 min 58 sec D. 16 min 6 sec E. 16 min 12 sec Do a more efficient single calculation: 24 min 18 sec is 90% of her exercise time. When she completes 40% of her exercise session, the readout will indicate 60% of the time. So we need \(\frac{6}{9} * 24(\frac{18}{60}) = \frac{161}{10} = 16 ( \frac{1}{10}) = 16 (\frac{6}{60}) =\)16 min 6 sec I guess you have a little flaw somewhere. OA is indeed E (16min 12sec), just saying



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Re: Dara ran on a treadmill that had a readout indicating the time remaini [#permalink]
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08 May 2016, 19:46
broilerc wrote: VeritasPrepKarishma wrote: CoffeeCreamSugar wrote: Dara ran on a treadmill that had a readout indicating the time remaining in her exercise session. When the readout indicated 24 min 18 sec, she had completed 10% of her exercise session. The readout indicated which of the following when she had completed 40% of her exercise session?
A. 10 min 48 sec B. 14 min 52 sec C. 14 min 58 sec D. 16 min 6 sec E. 16 min 12 sec Do a more efficient single calculation: 24 min 18 sec is 90% of her exercise time. When she completes 40% of her exercise session, the readout will indicate 60% of the time. So we need \(\frac{6}{9} * 24(\frac{18}{60}) = \frac{161}{10} = 16 ( \frac{1}{10}) = 16 (\frac{6}{60}) =\)16 min 6 sec I guess you have a little flaw somewhere. OA is indeed E (16min 12sec), just saying Yes, you are right. Thanks for pointing it out. Edited.
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Re: Dara ran on a treadmill that had a readout indicating the time remaini [#permalink]
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20 May 2016, 12:03
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24 min 18 sec = 1458 sec > this is 90% of the total workout (w)
.9w = 1458 sec w = 1620 sec
The readout when she had done 40% of the workout will be 60% of the total
1620*.6 = 972 > 972/60 = 16 min 12 sec
Answer E



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Re: Dara ran on a treadmill that had a readout indicating the time remaini [#permalink]
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06 Jun 2016, 10:13
I did it like this:
If 24 min and 18 seconds is left and 10% is completed then 90% is left.
Therefore, 24 18/60 = 90% x x = 27 min total time
Then 10% completed = 27 min  24 min 18 sec = 2 min 42 seconds
Therefore 60% completed = 10% * 6 = 2 min 42 seconds * 6 = (2 + 42/60) * 6 = 162 / 10 = 16 + .2 min = 16 min 20 seconds
= E



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Re: Dara ran on a treadmill that had a readout indicating the time remaini [#permalink]
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26 Jun 2016, 10:24
CoffeeCreamSugar wrote: Dara ran on a treadmill that had a readout indicating the time remaining in her exercise session. When the readout indicated 24 min 18 sec, she had completed 10% of her exercise session. The readout indicated which of the following when she had completed 40% of her exercise session?
A. 10 min 48 sec B. 14 min 52 sec C. 14 min 58 sec D. 16 min 6 sec E. 16 min 12 sec Time remaining when 10% of session completed = 24 mins and 18 seconds. Let us covert everything in seconds to calculate the total time. 24 mins 18 seconds = 24*60 + 18 = 1440 + 18 = 1458 90% of time = 1458 seconds. 100% of time = 1458*10/9 = 1620 seconds 40% completed = 60% remaining. Time remaining = 0.6*1620 = 972seconds = 960 + 12 seconds = 16 minutes 12 seconds. Correct Option: E



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Re: Dara ran on a treadmill that had a readout indicating the time remaini [#permalink]
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21 Jul 2016, 05:48
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I disregarded the minutes and only focused on the seconds since all answer options have a different seconds count. 18 seconds is 90% > 20 seconds is 100% > 60% is 12 seconds > answer E



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Re: Dara ran on a treadmill that had a readout indicating the time remaini [#permalink]
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22 Jul 2016, 03:21
she completes 90% work in 1458 seconds (24mins and 12 sec) therefore to complete 60% work (100% Original work  40% completed)she requires
60*1458= 972 seconds or 16 mins 12 seconds 90



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Dara ran on a treadmill that had a readout indicating the time remaini [#permalink]
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07 Aug 2016, 03:31
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This problem can be done mentally without any calculations
Readout indicated 24 min 18 sec when she had completed 10% of her exercise.
This means remaining 90% of the work will take 24 min 18 sec => 30% will take 8 min 6 sec
so 40% completed i.e. 60% remaining of the work will take (24min 18 sec 8 min 6 sec)= 16min 12 sec. So E is the answer



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Re: Dara ran on a treadmill that had a readout indicating the time remaini [#permalink]
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08 Sep 2016, 23:40
X = total time
.9x = 24.3 minutes
x = 24.3/.9 x = 24.3 * 10/9 = 243/9 TOTAL TIME
243/9 * 6/10 = 243/15 = 16 1/5 minutes
16 1/5 minutes = 16 minutes + 12 seconds
Easy math takes 30 seconds.
A very simple conversion to memorize that makes these type of problems super intuitive: .1 hours = 6 minutes. Remembering this equation means you don't need to waste time converting the entire thing to seconds as some have done above.



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Re: Dara ran on a treadmill that had a readout indicating the time remaini [#permalink]
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19 Sep 2016, 09:15
Used the following method:
24 min 18 sec = 10% Completed = 90% remaining ''x'' = 40% Completed = 60% remaining.
Converting the time to seconds: 1458 = 0.9, x = 0.6. Cross multiplying, 1458 x 6/10 = 9/10(x). Solving for 'x', I get 972 secs which is equal to 16 mins 12 secs.



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Re: Dara ran on a treadmill that had a readout indicating the time remaini [#permalink]
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06 Dec 2016, 19:57
convert 24 min 18 sec to min > 0.18 sec = 0.3 min > 24.3 min
24.3 min is 90% of the total time > 24.3 = 0.90x > x = 27min
Question is asking us what the time will be when the clock she has 60% left to run > 0.60x27min= 16.2min
0.2x0.60 = 12 sec
E.



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Dara ran on a treadmill that had a readout indicating the time remaini [#permalink]
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17 Jan 2017, 10:57
I would like an answer from Bunuel right here. I answered this Q correctly but I dont think that my way of answer is correct. Let's assume that the 100% of time is an Integer. Then at 10% of time , x minutes & 42 seconds (as there are 18 seconds remaining) have passed. So when she will have consumed 40% of her time, there will have passed 4*x minutes + 4*42 seconds. This solution gives an integer number for minutes for which we do not care about and 4*42 seconds gives us 168 seconds, which is 2 minutes and 48 seconds PASSED in addition to the 4*x minutes. The only solution that gives us a remainder of X minutes (for which we continue to not care about) and 12 seconds (6048), is E. Am I right ? Or I shouldnt have assumed that the total time is an Integer? Bunuel
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Re: Dara ran on a treadmill that had a readout indicating the time remaini [#permalink]
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23 Jan 2017, 06:05
CoffeeCreamSugar wrote: Dara ran on a treadmill that had a readout indicating the time remaining in her exercise session. When the readout indicated 24 min 18 sec, she had completed 10% of her exercise session. The readout indicated which of the following when she had completed 40% of her exercise session?
A. 10 min 48 sec B. 14 min 52 sec C. 14 min 58 sec D. 16 min 6 sec E. 16 min 12 sec We are given that Dara completed 10% of her exercise session when the readout indicated 24 min and 18 seconds as her time remaining. In other words she had 90% left of her workout at that time. We need to determine the readout after she has completed 40% of her exercise, or when she has 60% left. We can create a proportion to determine the time when Dara has 60% left. First, let’s convert 24 min 18 sec to minutes. 24 min 18 sec = (24 + 18/60) min = (24 + 3/10) min = 24.3 min We can also express 90 percent as 90/100 = 0.9 and 60 percent as 60/100 = 0.6. We define x as the number of minutes remaining in her workout when she has 60%, or 0.6, of her workout left to do. Our proportion is as follows: 0.9/24.3 = 0.6/x 9/243 = 0.6/x 9x = 145.8 x = 145.8/9 = 16.2 min Thus, x = (16 + 2/10) min = (16 + 12/60) min = 16 min 12 sec Answer: E
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Re: Dara ran on a treadmill that had a readout indicating the time remaini [#permalink]
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25 May 2017, 16:40
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Although I usually tend to rely on the algebraic approach described for this question by other posters, I want to provide an additional approach.
We are told that 90% of the remaining time equals 24 min and 18 seconds.
We can divide this one 90% portion into three 30% portions:
24 min divided by 3 = 3 portions of 8 min
18 sec divided by 3 = 3 portions of 6 sec
Since 30% + 30% = 60%, we then can make the sum of two of the portions to estimate the remaining time when Dara has completed 40% of the exercise session (or the remaining 60%):
(2 portions of 8 min = 16 min) + (2 portions of 6 sec = 12 sec)
Total = 16 min and 12 sec. Option E.
Hope it helps.



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Re: Dara ran on a treadmill that had a readout indicating the time remaini [#permalink]
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20 Sep 2017, 08:51
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poppe50 wrote: I disregarded the minutes and only focused on the seconds since all answer options have a different seconds count. 18 seconds is 90% > 20 seconds is 100% > 60% is 12 seconds > answer E This approach is incorrect, it gives the correct answer out of luck only because the 60% of the total minutes is an integer. If you want you can separate them, but should be like this: (1) 24 mins in 90%. Means that in 60%: 60*24/90 = 16 mins (simplify to calculate that) (2) 18 secs in 90%. Means that in 60%: 60*18/90 = 12 secs (also simplifying) if (1) turned out to be a fraction, then the answer would not just rely on the 12 secs you calculated.




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