Two friends A and B take a job for Rs. 8000. Had they worked alone, A would have taken 15 days while B would have taken 40 days. They start… — Answer & Discussion

Two friends A and B take a job for Rs. 8000. Had they worked alone, A would have taken 15 days while B would have taken 40 days. They started working together but after 6 days, A left and B completed the remaining work alone. Find the difference between their share.

ARs. 3200
BRs. 4800
CRs. 1600
DCan’t be determined

Answer not set

Join the discussion Report an error

Discussion 1

CCommunity18 Jun 2019

Let the total work be LCM of (15, 40) = 120 units

Efficiency of A = 120/15 = 8 units/days

Efficiency of B = 120/40 = 3 units/days

Now, since they work for different number of days, the amount of Rs. 8000 will be divided in the ratio of units of work done.

Work done by A in 6 days = 6 × 8 = 48 units

Work done by B in 6 days = 6 × 3 = 18 units

Remaining work = 120 – (48 + 18) = 120 – 66 = 54 units

? These 54 units of work will be done by B alone.

∴ Total work done by B = 18 + 54 = 72 units

Ratio of work done by A and B = 48 ? 72 = 2 ? 3

∴ Amount received by A = 8000 × 2/5 = Rs. 3200

And amount received by B = 8000 × 3/5 = Rs. 4800

Required difference = 4800 – 3200 = Rs. 1600