Question
âElvishâ and âFarhanâ alone can finish a work in
25 and 50 days, respectively, while âGauravâ can complete 20% of the job in 10 days. All three start together, but after 7 days, âElvishâ and âFarhanâ leave. How long will the total work take?Solution
ATQ,
Gauravâs full work calculation: (10/0.20) = 50 days.
Total work = LCM (25, 50, 50) = 100 units.
Work per day:
Efficiency of Elvish = 100/25 = 4 units/day
Efficiency of Farhan = 100/50 = 2 units/day
Efficiency of Gaurav = 100/50 = 2 units/day
Work done in 7 days:
(4+2+2) Ă 7 = 56 units.
Remaining work = 100 - 56 = 44 units.
Time taken by Gaurav = 44/2 = 22 days.
Total time = 7 + 22 = 29 days.
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