Question

2 people can paint a fence in one hour. How long would it take 10 people? Give your answer in minutes

Answer 1

Answer:

no of people=2

time taken=1/60mins

no of people=10

time taken=1/x

2=1/60

10=1/x

x=12mins

Answer 2

Given:

Number of people who can paint a fence in one hour = 2

To find:

Time required to paint a fence by ten people.

Solution:

Time consumed by 2 people to paint the fence = 1 Hour

As we know the formula for time and work,

(M₁ × D₁ × H₁ )/ W₁ = (M₂ × D₂ × H ₂)/ W₂

Here, M represents Men, D represents days, H represents Hours, and W represents work.

Putting the values in this formula, we can get the required number of minutes to complete the work.

( 2 Men × 1 Hour ) = ( 10 Men × H hours )

(The value of work here is 1, as only one fence has to be painted )

2 × 1 = 10 × H hours

= 1/5 hours

Converting 1/5 hours into minutes,

(1/5) × 60 = 12 minutes.

The time required to paint a fence by 10 people is 12 minutes.