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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 1 boy do the work? |
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Answer» Answer: 12.5 day Step-by-step explanation: 2 men and 3 BOYS can do a piece of WORK in 10 days. 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. Thus, 24 men and 16 boys can do the same work in 1 day....(ii) Equating (i) and (ii) we GET - 20 men + 30 boys = 24 men + 16 boys 4 men = 14 boys 2 men = 7 boys Substituting this in equation (i) we get 10 boys can do a piece of work in 10 days. 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 day |
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