Question

90 men can complete a work in 24 days working 15 hours a day. How many men are required to complete the same work in 27 days working 12 hours a day?​

Answer 1

Answer:

100

Step-by-step explanation:

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Answer 2

Answer:

Given:

• 90 men can complete a work in 24 days working 15 hours a day.

To find:

• How many men are required to complete the same work in 27 days working 12 hours a day?

Solution:

90 men can complete a work in 24 days working 15 hours a day.

i.e. 90 men completed work in (24 × 15) hours.

Let the work be k.

we get, 90 × (24 × 15) = k...(1)

Let n number of men complete the work in 27 days working 12 hours a day.

we get, n × (27 × 12) = k...(2)

From (1) and (2), we get

=> n × (27 × 12) = 90 × (24 × 15)

=> n = [90 × (24 × 15)] / (27 × 12)

=> n = [10 × (2 × 15)] / 3

=> n = 10 × (2 × 5)

=> n = 10 × 10

=> n = 100

Therefore, 100 men can complete same work in 27 days working 12 hours a day.