Question

9. 2 men and 3 boys can do a piece of work in 10 days while 3 men and 2 boys can do the same work in 8 days. In how many days can 2 men and I boy do
the work?
(a) 12 days
(b) 24 days
(0) 14 days
(d)12 - days

​

Answer 1

Answer:

• 2 men and 3 boys can do a piece of work in 10 days.

o Thus, 20 men and 30 boys can do a piece of work in 1 day......(i)

• 3 men and 2 boys can do the same work in 8 days.

o Thus, 24 men and 16 boys can do the same work in 1 day....(ii)

• Equating (i) and (ii) we get -

o 20 men + 30 boys = 24 men + 16 boys

o 4 men = 14 boys

o 2 men = 7 boys

• Substituting this in equation (i) we get

o 10 boys can do a piece of work in 10 days.

o But we need to find out in how many days 2 men and 1 boy can do the work, which is equivalent to 8 boys.

 8 boys can do the same work in (10*10/8) = 12.5 days.

Thanks,

Saquib

Quant Expert

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