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The amounts of time that three secretaries worked on a

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The amounts of time that three secretaries worked on a  [#permalink]

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New post 07 Feb 2012, 02:12
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Question Stats:

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The amounts of time that three secretaries worked on a special project are in the ratio of 1 to 2 to 5. If they worked a combined total of 112 hours, how many hours did the secretary who worked the longest spend on the project?

A) 80
B) 70
C) 56
D) 16
E) 14

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Re: The amounts of time that three secretaries worked on a  [#permalink]

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New post 07 Feb 2012, 02:28
8x = 112
=> x = 14

Therefore the secretary who worked the longest spent 14 x 5 = 70 hours on the project

Option (B)
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Re: The amounts of time that three secretaries worked on a  [#permalink]

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New post 07 Feb 2012, 05:05
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fiendex wrote:
The amounts of time that three secretaries worked on a special project are in the ratio of 1 to 2 to 5. If they worked a combined total of 112 hours, how many hours did the secretary who worked the longet spend on the project?

A) 80
B) 70
C) 56
D) 16
E) 14


Since, amounts of time that secretaries worked in the ratio of 1 to 2 to 5, then \(\frac{\frac{1x}{2x}}{5x}\), for some number x --> x+2x+5x=8x=112 --> x=14 --> the secretary who worked the longet spent 5x=70 hours.

Answer: B.
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Re: The amounts of time that three secretaries worked on a  [#permalink]

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New post 07 Feb 2012, 06:53
1
All three secretaries worked 112h and with a ratio of 1to2to5

8x = 112h
x = 14h

5*14h = 50h --> B
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Re: The amounts of time that three secretaries worked on a  [#permalink]

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New post 23 May 2017, 02:48
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Re: The amounts of time that three secretaries worked on a  [#permalink]

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New post 25 May 2017, 15:48
1
fiendex wrote:
The amounts of time that three secretaries worked on a special project are in the ratio of 1 to 2 to 5. If they worked a combined total of 112 hours, how many hours did the secretary who worked the longest spend on the project?

A) 80
B) 70
C) 56
D) 16
E) 14


The ratio of the amounts of time that the secretaries worked on the project is x : 2x : 5x or a total of 8x.

Since the total number of hours is 112:

8x = 112

x = 14

The secretary who worked the longest worked for 5x = 5(14) = 70 hours.

Answer: B
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The amounts of time that three secretaries worked on a  [#permalink]

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New post 08 Dec 2017, 19:36
\(\frac{5}{8ths}\)of the time was spent by the longest working secretary. So the answer is more than 56. An eighth of
112 is 14. 56+14=70
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Re: The amounts of time that three secretaries worked on a  [#permalink]

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New post 31 Jan 2019, 04:16
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Re: The amounts of time that three secretaries worked on a   [#permalink] 31 Jan 2019, 04:16
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