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Question

P, Q & R can finish a work in 10 days, 15 days, and 20 days, respectively, working alone. P and Q work on the first day, P and R work on the second day, P and Q work on the third day, and so on till the work is completed. In how many days the work will be completed?

A 16/7 Correct Answer Incorrect Answer
B 56/9 Correct Answer Incorrect Answer
C 32/7 Correct Answer Incorrect Answer
D 64/7 Correct Answer Incorrect Answer
E none of these Correct Answer Incorrect Answer

Solution

Then ATQ- First day - P + Q =6+4 =10unit second day-P + R=6+3 =9unit third day P+Q=6+4=10unit total work of three days =10+9+10 =29unit so 58units completed of total work = 3×2 =6days remaining work =60-58 =2 unit so, the remaining work will be completed by P+R = 2/9days  Total days = 6+2/9 =56/9days

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