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Question:

45 people can repair a road in 10 days, working 6 hours a day. In how many days can 30 people, working 6 hours a day, complete the same work?

Explanation:

We know when work to be done is same, M₁H₁D₁ = M₂H₂D₂

⇒ 45 × 6 × 10 = 30 × 6 × D₂

⇒ 450 = 30 × D₂

⇒  D₂ = 450/30 = 15 days

Hence, option (a).