A. 6 days

**B. 10 days**

C. 15 days

D. 20 days

Work done by X in 4 days = ( 1/20X 4 ) = 1/5 Remaining work = (1 – 1/5 ) = 4/5 (X + Y)’s 1 day’s work = 1/20 + 1/12 = 8/60 = 2/15 Now, 2/15 work is done by X and Y in 1 day. So, 4/5 work will be done by X and Y in 15/2 X 4/5 = 6 days Hence, total time taken = (6 + 4) days = 10 days.

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### Related Mcqs:

- P and Q can complete a work in 20 days and 12 days respectively. P alone started the work and Q joined him after 4 days till the completion of the work. How long did the work last?
A. 5 days

**B. 10 days**

C. 15 days

D. 12 days - A and B can complete a work in 15 days and 10 days respectively. They started doing the work together but after 2 days B had to leave and A alone completed the remaining work. The whole work was completed in___________?
A. 8 days

B. 10 days

**C. 12 days**

D. 15 days - P and Q can complete a work in 15 days and 10 days respectively. They started the work together and then Q left after 2 days. P alone completed the remaining work. The work was finished in__________days.
**A. 12**

B. 15

C. 22

D. 20 - P and Q can do a work in 30 days. Q and R can do the same work in 24 days and R and P in 20 days. They started the work together, but Q and R left after 10 days. How many days more will P take to finish the work?
A. 10

B. 8

**C. 18**

D. 19 - A and B can finish a work 30 days if they work together. They worked together for 20 days and then B left. A finished the remaining work in another 20 days. In how many days A alone can finish the work?
A. 70

B. 50

C. 40

**D. 60** - A and B can together do a piece of work in 15 days. B alone can do it in 20 days. In how many days can A alone do it ?
A. 40 days

B. 50 days

**C. 60 days**

D. 70 days - A alone can finish a work in X days. B alone can finish the same work in X+5 days. Together, they take 6 days to complete the work. Find X
A. 12

B. 8

**C. 10**

D. 9 - P can do a work in the same time in which Q and R together can do it. If P and Q work together, the work can be completed in 10 days. R alone needs 50 days to complete the same work. then Q alone can do it in__________?
A. 30 days

**B. 25 days**

C. 20 days

D. 15 days - A and B can do a piece of work in 21 and 24 days respectively.They start the work together and after some days, A leaves and B completes the rest of the task in 9 days. After how many days did A leave?
A. 5

B. 6

**C. 7**

D. 8 - A and B can finish a piece of work in 20 days .B and C in 30 days and C and A in 40 days. In how many days will A alone finish the job?
**A. 48**

B. 34(2/7)

C. 44

D. 45

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