Question discussion

8 men can dig a pit in 20 days. If a man works half as much again a s a boy, then 4 men and 9 boys can dig a similar pit in:

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8 men can dig a pit in 20 days. If a man works half as much again a s a boy, then 4 men and 9 boys can dig a similar pit in:
  • A10 days
  • B12 days
  • C15 days
  • D16 days
Correct answer: D

Discussion 1

0
CCommunity
16 days

1 work done = 8 × 20
1 man = 3/2 Boys
1 boy = 2/3 men
Then, 9 boys = 9 × 2/3 men = 6 men
Then, 4 men + 9 boys = 10 men
Then, 8 × 20 = 10 × ?days
? days = 8 × 20/10 = 16 days.