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Dara ran on a treadmill that had a readout indicating the time remaini

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Dara ran on a treadmill that had a readout indicating the time remaini  [#permalink]

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New post 21 Nov 2017, 17:33
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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 \(\frac{6}{9} * 24(\frac{18}{60}) = \frac{81}{5} = 16 ( \frac{1}{5}) = 16 (\frac{12}{60}) =\)16 min 12 sec

*Edited a calculation error.


Hi. Could you please explain the reasoning behind the last part? How did get to the 81/5?
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Dara ran on a treadmill that had a readout indicating the time remaini  [#permalink]

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New post 21 Nov 2017, 20:19
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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


\(Mental:\)


\(90 percent\) = \(24 min 18 sec\)

\(60 percent\) = \(\frac{2}{3} * 24 min 18 sec\)

= \(16 min 12 sec\), i.e \(\frac{2}{3}\) of each of \(24\) and \(18\) respectively

Hence, E.
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Re: Dara ran on a treadmill that had a readout indicating the time remaini  [#permalink]

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New post 27 Nov 2017, 23:27
When the readout indicated 24 min 18 sec, she had completed 10% of her exercise session.
=> 24 min 18 sec = total time for Daran to complete 90% of her excercise session.
=> total time to complete = 24min18 sec : 90% = 27 mins.
When she completes 40% of her exercise => timer should show the time remaining for 60% of her exercise = 60% * 27 mins = 16 min 20 sec
Hence the answer is E.
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Re: Dara ran on a treadmill that had a readout indicating the time remaini  [#permalink]

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New post 20 Sep 2018, 07:35
hacker wrote:
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



extremely elegant!
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Re: Dara ran on a treadmill that had a readout indicating the time remaini  [#permalink]

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New post 19 Nov 2019, 04:11
Key is to recognize this is a proportion question - 90% is given need to calculate 60%

0.9=24.3min
0.6=x?

x=24.3*0.6/0.9
x=243*6/9=162

162 divide by 10=16.2 or 16 min 12 sec
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Re: Dara ran on a treadmill that had a readout indicating the time remaini   [#permalink] 19 Nov 2019, 04:11
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