It takes 10 road workers 5 days to complete a road repair when working 2 hours a day. Working at the same pace, how many days will it take 2 people working 5 hours a day to finish it?

Mathematics · High School · Sun Jan 24 2021

Answered on

given that

 number of workers(m) , number of hours per day(H) and number of days(D)

case 1 -

m1 = 10

d1 = 5

h1 = 2

case 2 -

m2 = 2

d2 = ?

h2 = 5

We know that,

m2*d2*h2 = m1*d1*h1

=> 2×d2 × 5 = 10×5×2

=> d2 = (10×5×2)/(2×5)

After cancellation, we get

=> d2= 10

Therefore,

2 people working 5 hours a day

finish the work in 10 days