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Thirty-six men can finish building a house in 120 days. If a third of the original number of men were added, how many days would take the new group to finish the same house?

12 90 160 40

Ir J by IR J , 21, Philippines

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2 solutions

Zico Quintina
Jul 5, 2018

It takes ( 36 ) ( 120 ) (36)(120) "man-days" to build the house; this remains constant regardless of how many men are working. If the number of men gets multiplied by 4 3 \dfrac{4}{3} , then the number of days will get multiplied by 3 4 \dfrac{3}{4} , so it will now take 3 4 ( 120 ) = 90 \dfrac{3}{4}(120) = \boxed{90} days to finish.

1 Helpful 0 Interesting 0 Brilliant 0 Confused

30 ( 120 ) = ( 30 + 10 ) ( x ) 30(120)=(30+10)(x)

3600 = 40 x 3600 = 40x

x = 90 x=\boxed{90}

0 Helpful 0 Interesting 0 Brilliant 0 Confused

I didn't understand the step 30 ( 120 ) = ( 30 + 10 ) ( x ) 30(120) = (30 + 10)(x) . How did you get that. Please give your explanation

Ram Mohith - 2 years, 11 months ago

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