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M22-19

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Math Expert
Joined: 02 Sep 2009
Posts: 53063

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16 Sep 2014, 00:16
00:00

Difficulty:

35% (medium)

Question Stats:

70% (00:54) correct 30% (01:33) wrong based on 126 sessions

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If three people working at the same rate can complete the job in 35 hours, how much time would be saved if two more people were added to the group?

A. 10 hours
B. 14 hours
C. 18 hours
D. 20 hours
E. 21 hours

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Math Expert
Joined: 02 Sep 2009
Posts: 53063

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16 Sep 2014, 00:16
1
Official Solution:

If three people working at the same rate can complete the job in 35 hours, how much time would be saved if two more people were added to the group?

A. 10 hours
B. 14 hours
C. 18 hours
D. 20 hours
E. 21 hours

One man would complete the job in $$35*3 = 105$$ hours. Five people would complete the job in $$\frac{105}{5} = 21$$ hours. $$35 - 21 = 14$$ hours would be saved.

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Joined: 15 Aug 2018
Posts: 3

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10 Oct 2018, 11:01
I solved this by putting a proportion together:
3/x= 1/35 and 5/x=unknown, x are being cancelled out and unknown= 1/21, which 14 hr difference from 1/35.
M22-19   [#permalink] 10 Oct 2018, 11:01
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