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by colakumarfanta » Sun Nov 13, 2011 3:10 am
A along with B can do 1 / 2 of the work in 60 minutes, B is four times faster than A, How long will A take to do rest of the work if it works alone?
A. 50 B. 75 C. 120 D. 150 E. 300
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by rijul007 » Sun Nov 13, 2011 3:24 am
rate of A = a wph (work per hour)
rate of B = b wph

rate of A and B together = (a+b) wph = 1/2 wph

b = 4 a

a + 4a = 1/2
5a = 1/2
a = 1/10
rate of A = 1/10 wph

A would take 10hrs to complete the whole work

A will complete the remaining half of the work in 5 hrs = 5*60 mins = 300 mins

Option E
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by GMATGuruNY » Sun Nov 13, 2011 3:43 am
colakumarfanta wrote:A along with B can do 1 / 2 of the work in 60 minutes, B is four times faster than A, How long will A take to do rest of the work if it works alone?
A. 50 B. 75 C. 120 D. 150 E. 300
Let the rate for B = 4 units per hour and the rate for A = 1 unit per hour.
Thus, in 60 minutes, A and B produce 1+4 = 5 units.
Since this is 1/2 the work, the remaining amount of work = 5 units.
Time for A to complete the work = w/r = 5/1 = 5 hours.

The correct answer is E.
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