Time and Work Practice Test 3 with solutions

Question : 30 of 40

Marks: +1, -0

If 6 men and 8 boys can do a piece of work in 10 days while 26 men and 48 boys can do the same in 2 days, the time taken by 15 men and 20 boys in doing the same type of work will be

7 days
6 days
5 days
4 days

Validate

Solution:

Here, (6 men + 8 boys) × 10 = (26 men + 48 boys) × 2
⇒ 60 men + 80 boys = 52 men + 96 boys
⇒ 8 men = 16 boys.
Hence, 1 man = 2 boys.
Then, 6 men + 8 boys = 12 boys + 8 boys = 20 boys
and 15 men + 20 boys = 30 boys + 20 boys = 50 boys
Now, 50 boys' 1 day's work = 50 ×

1/{20×10}

1/4

Hence, 15 men and 20 boys will do the same work in 4 days.

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