Time and Work Practice Test 1 with solutions

Question : 31 of 40

Marks: +1, -0

25 men with 10 boys can do in 6 days as much work as 21 men with 30 boys can do in 5 days. How many boys must help 40 men to do the same work in 4 days?

5 boys
10 boys
20 boys
40 boys

Validate

Solution:

Here, (25 men + 10 boys) × 6 = (21 men + 30 boys) × 5
⇒ 150 men + 60 boys = 105 men + 150 boys
⇒ 45 men = 90 boys Hence, 1 man = 2 boys
25 men + 10 boys = 50 boys + 10 boys = 60 boys
40 men = 80 boys
In 6 days, the whole work has been done by 60 boys.
Hence, in 4 days, the whole work will be done by

{60×6}/{4}

= 90 boys.
Therefore, required number of boys = 90 – 80 = 10 boys.

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