6 men and 8 boys can do a piece of work in 10 days while 26 men and 48 boys can do the same work in ...........

Quantitative Aptitude ( CCS) Time and work

6 men and 8 boys can do a piece of work in 10 days while 26 men and 48 boys can do the same work in 2 days, How much time taken by 15 men and 20 boys in doing the same type of work ?

4 days

5 days

6 days

8 days

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Explanation:

According to the question,
6 × 10 men + 8 × 10 boys = 26 × 2 men + 48 × 2 boys
= (60 – 52) men = (96 – 80) boys
= 8 men = 16 boys
= 1 man = 2 boys
∴ 6 men + 8 boys = (12 + 8) boys = 20 boys
15 men + 20 boy = 50 boys
∴ M1D1 = M2D2
= 20 × 10 = 50 × D2 = 200/50 = 4 days