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Working alone, Navid can mow

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Working alone, Navid can mow [#permalink] New post   29 Jun 2020, 05:25
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86% (00:54) correct 13% (00:59) wrong based on 98 sessions

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Working alone, Navid can mow a field in two hours, Erin can mow it in three hours, Janey can do it in four hours, and Steven can do it in 12 hours.

Quantity A
Quantity B
The number of hours it takes Navid and Steven working together to mow the field
The number of hours it takes Erin and Janey working together to mow the field



A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
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C
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Re: Working alone, Navid can mow [#permalink] New post   29 Jun 2020, 05:26
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Re: Working alone, Navid can mow [#permalink] New post   29 Jun 2020, 07:15
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The easiest way to this sum is by using LCM. The number of hours used by Navid, eric, Janey, and steven is 2, 3, 4 and 12 hours resp. Thus, the LCM is 12, dividing 12 by no. of hours taken by each of them to complete the work ie. 12/2; 12/3; 12/4; 12/12 which gives us the number of units each individual can do in one hour which is 6, 4, 3, and 1.
Case A: Navid+Steven= 6+1= 7 units. Thus, to do 12 units will take 12/7 hours
Case B: Eric+Janey= 3+4=7 units. Thus, to do 12 units it will take 12/7 hours
Hence A=B.
Answer C
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Re: Working alone, Navid can mow [#permalink] New post   30 Jun 2020, 08:38
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I went with the easy cumulative work formula (A + B) / (A * B)

for Quantity A: Navid + Steven = (2 + 12) / (2 * 12) = 14/24 = 7/12
for Quantity B: Erin + Janey = (3 + 4) / (3 * 4) = 7/12

answer C
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Re: Working alone, Navid can mow [#permalink] New post   09 Jul 2020, 03:16
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There is no need to remember a special formula.
Just this one: S = t*V (v - velocity as units per hour, t - time, S - units done)
N = 2h => V = 1/2
E = 3h => V = 1/3
S = 12h => V = 1/12
J = 4h => V = 1/4
S = 1 (1 - field) => 1 = t (1/2+1/12) => t=7/12
S = 1 => 1 = t(1/3 + 1/4) => t=7/12
The same
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Re: Working alone, Navid can mow [#permalink] New post   12 Jul 2020, 06:37
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lets look at the rates: 1/2 , 1/3, 1/4, 1/12 (assuming they are all working for one unit of work)

Thus 1/2 + 1/12 = 7/12
And 1/3 + 1/4 = 7 /12
Ans C

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Re: Working alone, Navid can mow [#permalink]
12 Jul 2020, 06:37
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