Question

120 men working 9 hours a day can construct a road in 40 days.how long would it take to construct the same road if 150 men work 6 hours a day on it?

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Answer 1

120 men working 9 hours a day can construct a road in 40 days.how long would it take to construct the same road if 150 men work 6 hours a day on it?

GIVEN

120 men working 9 hours a day can construct a road in 40 days.

To Find

long would it take to construct the same road if 150 men work 6 hours a day on it?

SOLUTION

Let the time be y

Men 1/Men 2 × Time 1/ Time 2 = Day 1/Day 2

120/150 = 9/6 = 40/y

120 × 9/150 × 6 = 40/y

1080/150 × 6 = 40/y

1080/900 = 40/y

40 × 900 = 1080 × y

36,000 = 1080 × y

36,000 = 1080y

36,000/1080 = y

y = 33.33 days

33.33 days for 150 men to construct the road working for 6 hours each day.

Answer 2

Answer:

Heya Here's the required Answer mate

• It would take 40 days to construct the same road if 150 men work 6 hours a day on it.

step by step explanation:

• 120 men work for = 9×40 hours = 360 hours

• 1 man will have to work for = 360 ×120 hours

• Therefore 150 men will have to work for = (360×120)/150 = 24 ×12 = 288 hours

• Working 6 hours a day, number of days needed will be = 288 ÷ 6 = 48 days

• Ans.: 48 days

Hope it helps dear