Time and Work Problems with Solutions for Bank Exams

Time and Work Problems with Solutions for Competitive Exams

Q.11. 4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete it?

(A) 40

(B) 35

(C) 50

(D) 45

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Solution

Hence, 10 women will complete the work in 40 days.

Q.12. A can finish a work in 18 days and B can do the same work in 15 days. B worked for 10 days and left the job. In how many days, A alone can finish the remaining work?

(A) 7

(B) 5

(C) 8

(D) 6

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Solution

Q.13. A and B can together finish a work 30 days. They worked together for 20 days and then B left. After another 20 days, A finished the remaining work. In how many days A alone can finish the work?

(A) 50

(B) 40

(C) 60

(D) 54

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Solution

Now, 1/3 work is done by A in 20 days.

Therefore, the whole work will be done by A in (20 x 3) = 60 days

Q.14.10 women can complete a work in 7 days and 10 children take 14 days to complete the work. How many days will 5 women and 10 children take to complete the work?

(A) 5

(B) 7

(C) 3

(D) None of these

(E) Cannot be determined

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Solution

(5 women + 10 children)'s day's work =

5 women and 10 children will complete the work in 7 days.

Q.15. P can complete a work in 12 days working 8 hours a day. Q can complete the same work in 8 days working 10 hours a day. If both P and Q work together, working 8 hours a day, in how many days can they complete the work?

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Solution

Q can complete the work in (8 x 10) hrs. = 80 hrs.

(P + Q)'s 1 hour's work =  

So, both P and Q will finish the work in (480/11) hrs.

⸫  Number of days of 8 hours each =

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