6 men and 5 boys can do a piece of work in 10 days while 20men and 45 boys can do the same in 2 days...........

Quantitative Aptitude(IBPS RRB PO) Time and work

6 men and 5 boys can do a piece of work in 10 days while 20men and 45 boys can do the same in 2 days, how much time taken by 13 men and 25 boys in doing the same work ?

2(1/3)days

3(1/3)days

4(1/3)days

2(1/2) days

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Explanation:

(6m+5b)10 = (20m+45b)2
60m+50b = 40m + 90b
20m = 40b
1m = 2b
6m+5b =12b+5b = 17b in 10 days
13m+25b = 26b+25b = 51b in ? days
17:10 = 51 :?
17*10/51 = ? = 3(1/3) days

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