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P alone can do a job in 18 days. P and Q working together can do it in 15 days. They started to work together. After 10 days Q left, and P alone has t
Question

P alone can do a job in 18 days. P and Q working together can do it in 15 days. They started to work together. After 10 days Q left, and P alone has to complete the job. In how many days can P complete the remaining work ?

A.

8 days

B.

5 days

C.

7 days

D.

6 days

Correct option is D


Let the total work = LCM of 18 and 15 = 90
Efficiency of P = 90/18 = 5 unit/day
Efficiency of P + Q = 120/15 = 6 unit/day
The work done by P and Q in 10 days = 6×10= 60 unit
Remaining work = 90 – 60 = 30 unit
Remaining work done by P = 30/ 5= 6 days .

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