Time and Work Practice Test 4 with solutions

Here, (12 men + 16 boys) × 5 = (13 men + 24 boys) × 4
⇒ 60 men + 80 boys = 52 men + 96 boys
⇒ 8 men = 16 boys
∴ 1 man = 2 boys
13 men + 24 boys = 26 boys + 24 boys = 50 boys
7 men + 10 boys = 14 boys + 10 boys = 24 boys
Now, 50 boys can do the whole work in 4 days
Hence, 24 boys will do whole work in

50×4

24

days =

25

3

= 8

1

3

days.