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# The sum of 9 minutes, 50 seconds and x is 34 percent of one hour. What

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Math Expert
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The sum of 9 minutes, 50 seconds and x is 34 percent of one hour. What  [#permalink]

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10 Jan 2018, 23:28
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25% (medium)

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76% (02:06) correct 24% (01:41) wrong based on 54 sessions

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The sum of 9 minutes, 50 seconds and x is 34 percent of one hour. What does x equal?

A. 50 minutes, 10 seconds
B. 34 minutes, 00 seconds
C. 10 minutes, 34 seconds
D. 20 minutes, 24 seconds
E. 39 minutes, 36 seconds

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Intern
Joined: 16 Apr 2017
Posts: 12
Re: The sum of 9 minutes, 50 seconds and x is 34 percent of one hour. What  [#permalink]

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11 Jan 2018, 00:48
1
9min 50sec ~ 10min
34% of 60min ~ 20min
10+x=20
x = 10

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The sum of 9 minutes, 50 seconds and x is 34 percent of one hour. What  [#permalink]

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11 Jan 2018, 08:56
Bunuel wrote:
The sum of 9 minutes, 50 seconds and x is 34 percent of one hour. What does x equal?

A. 50 minutes, 10 seconds
B. 34 minutes, 00 seconds
C. 10 minutes, 34 seconds
D. 20 minutes, 24 seconds
E. 39 minutes, 36 seconds

34% of an hour(3600 seconds) is 34/100 * 3600 = 34 * 36 = 35*35 - 1 = 1224 seconds.

Since we have 9 minutes and 50 seconds, which is 9*60 + 50 = 590 seconds
The remainder is 634 seconds(which is 10 minutes and 34 seconds) which must be added.

Therefore, x equal 10 minutes, 34 seconds(Option C)

P.S When the answer options are far apart, approximations may work, but with close
answer options it makes sense to convert the time into seconds.
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Re: The sum of 9 minutes, 50 seconds and x is 34 percent of one hour. What  [#permalink]

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18 Jan 2018, 08:49
Bunuel wrote:
The sum of 9 minutes, 50 seconds and x is 34 percent of one hour. What does x equal?

A. 50 minutes, 10 seconds
B. 34 minutes, 00 seconds
C. 10 minutes, 34 seconds
D. 20 minutes, 24 seconds
E. 39 minutes, 36 seconds

34 percent of 1 hour is 0.34 x 60 = 20.4 minutes = 20 minutes and 24 seconds

Thus, x must be 10 minutes and 34 seconds, since 9 min + 10 min = 19 min, and 50 sec + 34 sec = 84 sec = 1 min 24 sec, making a total of 19 min + 1 min 24 sec = 20 min 24 sec.

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Re: The sum of 9 minutes, 50 seconds and x is 34 percent of one hour. What  [#permalink]

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18 Jan 2018, 11:05
Bunuel wrote:
The sum of 9 minutes, 50 seconds and x is 34 percent of one hour. What does x equal?

A. 50 minutes, 10 seconds
B. 34 minutes, 00 seconds
C. 10 minutes, 34 seconds
D. 20 minutes, 24 seconds
E. 39 minutes, 36 seconds

$$9*60 + 50 + x = \frac{34}{100}*60*60$$

$$590 + x = 1224$$

So, $$x = 634$$

Answer will be (C) 10 minutes, 34 seconds
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Re: The sum of 9 minutes, 50 seconds and x is 34 percent of one hour. What &nbs [#permalink] 18 Jan 2018, 11:05
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