# B can cut 112 trees in 30 minutes and A is 125% as efficient as B. In a day 3000 trees were to be cut. If A and B started working together, then in ho

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B can cut 112 trees in 30 minutes and A is 125% as efficient as B. In a day 3000 trees were to be cut. If A and B started working together, then in how many hours they can complete the work?

1. 5 hours 57 minutes
2. 5 hours 37 minutes
3. 5 hours 45 minutes
4. 4 hours 57 minutes
5. 6 hours 3 minutes

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Correct Answer - Option 1 : 5 hours 57 minutes

Given

B can cut 112 trees in 30 minutes

A is 125% as efficient as B

Formula Used

Work = Time × Efficiency

Calculation

A can cut trees in 30 minutes

⇒ 125% of 112 = 140 trees

⇒ In 30 minutes, the number of trees cut by A and B together

⇒ 112 + 140 = 252 trees

In 1 hour, they together can cut

⇒ 252 × 2 = 504 trees

The number of hours taken by them to cut 3000 trees

⇒ 3000/504

⇒ 5 hours 57 minutes

Time taken to complete the work is 5 hours 57 minutes.