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John can shovel a driveway in 50 minutes. If Mary can shovel the drive

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Senior RC Moderator
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John can shovel a driveway in 50 minutes. If Mary can shovel the drive  [#permalink]

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New post 20 Dec 2018, 14:30
1
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

92% (01:00) correct 8% (00:57) wrong based on 41 sessions

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John can shovel a driveway in 50 minutes. If Mary can shovel the driveway in 20 minutes, how long will it take them, to the nearest minute, to shovel the driveway if they work together?

A. 12
B. 13
C. 14
D. 16
E. 18

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Re: John can shovel a driveway in 50 minutes. If Mary can shovel the drive  [#permalink]

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New post 21 Dec 2018, 22:36
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Top Contributor
Since both of them are trying to do the same work so the work done can be taken as 1 in this case.
Using, Rate * time = Work

John's Rate, R(J) = Work / Time = 1/50
Mary's Rate, R(M) = Work / time = 1/20

If they are working together then their rates will be added up. So, combined Rate = R(J) + R(M) = 1/50 + 1/20 = 2/100 + 5/100 = 7/100

Time taken by both working together = Work / Rate = 1/ (7/100) = 100/7 min = 14.3 mins
So, answer will be C.

Hope it helps!

SajjadAhmad wrote:
John can shovel a driveway in 50 minutes. If Mary can shovel the driveway in 20 minutes, how long will it take them, to the nearest minute, to shovel the driveway if they work together?

A. 12
B. 13
C. 14
D. 16
E. 18

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Re: John can shovel a driveway in 50 minutes. If Mary can shovel the drive   [#permalink] 21 Dec 2018, 22:36
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John can shovel a driveway in 50 minutes. If Mary can shovel the drive

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