Two friends a and b take a job for rs. 10000. Had they worked alone, a would have taken 20 days while b would have taken 30 days. They started working together but after 10 days, a left and b completed the remaining work alone. Find the difference between their share?
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Answer:
Let the total job be LCM (20, 30) = 60 units
=> Efficiency of A = 60/20 = 3 units / day
=> Efficiency of B = 60/30 = 2 units / day
Now, since they work for different number of days, the amount of Rs 10,000 would be divided in the ratio of units of work done.
Work done by A in 10 days = 30 units
Work done by B in 10 days = 20 units
Work left = 60 – 30 – 20 = 10 units
This 10 units of leftover work was done by B alone.
Therefore, total work done by A = 30 units
Total work done by B = 20 + 10 = 30 units
Hence, ratio of share in amount = 30 : 30 = 1 : 1
=> Each would be getting Rs 5000.
Thus, difference in share = 0
Hope it helps you....
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