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John can mow 7 acres of land in one day, while Sam and John can mow 22

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John can mow 7 acres of land in one day, while Sam and John can mow 22 [#permalink]

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New post 11 Apr 2017, 22:59
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A
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C
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E

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  15% (low)

Question Stats:

83% (01:21) correct 17% (02:15) wrong based on 60 sessions

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John can mow 7 acres of land in one day, while Sam and John can mow 22 acres in 2 days. How many days did it take Sam to mow 5 acres by himself?

A. 7/22
B. 4/5
C. 5/4
D. 22/7
E. 15

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Re: John can mow 7 acres of land in one day, while Sam and John can mow 22 [#permalink]

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New post 11 Apr 2017, 23:29
Given that in 2 days Sam & John together mow 22 acres of land.
So, in 1 day they mow = 22/2 = 11 acres of land.
This statement can be written as equation 1/Sam + 1/John = 11

Also it is given that John mows 7 acres of land in 1 day, or we can say 1/John = 7.
Putting the value in above equation we get, 1/Sam + 7 = 11
Solving we get, 1/Sam = 4

So, Sam mows 4 acres of land in 1 day.
To mow 5 acres of land he'll need 5/4 days.

Answer should be C.
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Re: John can mow 7 acres of land in one day, while Sam and John can mow 22 [#permalink]

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New post 12 Apr 2017, 09:16
Bunuel wrote:
John can mow 7 acres of land in one day, while Sam and John can mow 22 acres in 2 days. How many days did it take Sam to mow 5 acres by himself?

A. 7/22
B. 4/5
C. 5/4
D. 22/7
E. 15


Efficiency of John = 7 acres/day
Efficiency of John + Sam = 11 acres/day

Thus, efficiency of Sam = 4 units/day..

So, time required to mow 5 acres = 5/4 days, answer must be (C)

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Re: John can mow 7 acres of land in one day, while Sam and John can mow 22 [#permalink]

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New post 19 Apr 2017, 16:04
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Bunuel wrote:
John can mow 7 acres of land in one day, while Sam and John can mow 22 acres in 2 days. How many days did it take Sam to mow 5 acres by himself?

A. 7/22
B. 4/5
C. 5/4
D. 22/7
E. 15


We are given that John can mow 7 acres of land in one day, while Sam and John can mow 22 acres in 2 days. Thus, John’s rate is 7 and the combined rate of Sam and John is 22/2 = 11. If we let Sam’s rate = x, we can create the following equation to determine x:

7 + x = 11

x = 4

Since time = work/rate, Sam can mow 5 acres in 5/4 days.

Answer: C
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Re: John can mow 7 acres of land in one day, while Sam and John can mow 22   [#permalink] 19 Apr 2017, 16:04
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