Question

If 8 men and 3 boys working together. can do four times as much work per
hour as
a man and a boy together. Find the ratio of the work done by a boy and that of a
man for a given time? ​

Answer 1

Given :- If 8 men and 3 boys working together. can do four times as much work per hour as a man and a boy together. Find the ratio of the work done by a boy and that of a man for a given time ?

Answer :-

Let us assume that, efficiency of a Man is M units / hour and a boy is B units / hour .

so,

→ 8M + 3B = 4 * (1M + 1B)

→ 8M + 3B = 4M + 4B

→ 8M - 4M = 4B - 3B

→ 4M = B

→ M/B = 1/4

therefore,

→ B : M = 4 : 1 (Ans.)

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