SSC CPO SI and ASI Model Paper 5

Question : 116 of 200

Marks: +1, -0

2 men and 3 boys can do a work in 10 days while 3 men and 2 boys can do a work in 8 days. In how many days, can 2 men and 1 boy do the same work?

Solution:

(2) Here,

(2M + 3B) × 10 = (3M + 2B) × 8

20M + 30B = 24M + 16B

2M = 7B…..

(i)
Again, M_1D_1 = M_2D_2

(2M + 3B) × 10 = (2M + 1B) × D_2

(7B + 3B) × 10 = (8B) D_2……..by (i)

8D_2 = 100

D_2 =

100/8= 12.5

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