P works as much in 2 days as Q in 3 days and Q works as much in 4 days as R in 5 days; in what time will P, Q and R working together finish the work if P alone can finish it is 11 days?
P works as much in 2 days as Q in 3 days and Q works as much in 4 days as R in 5 days; in what time will P, Q and R working together finish the work if P alone can finish it is 11 days?
Option 1 -
3
Option 2 -
4
Option 3 -
5
Option 4 -
8
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1 Answer
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Correct Option - 3
Detailed Solution:(c):Ratio of efficiency of P & Q is 3 : 2.
Ratio of efficiency of Q & R is 5 : 4.
Ratio of efficiency of P, Q & R is 15 : 10 : 8
Total work done = 15 * 11 = 165
Time require by P, Q, R = 165/33 = 5 days
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