A 16 1/2 kilometer stretch of road needs repairs. Workers can repair 2 1/4 kilometer of road per week. How many weeks will take to repair this stretch of road?

Question

asked Jan 6, 2020 203k views

1 Answer

Rozina · Answer 1 · 2020-01-13T19:52:45+0000

Answer:

$7(1)/(3)\ weeks$

Explanation:

we know that

To find out how many weeks it will take to repair this stretch of road, divide the total length of the road by the workers' rate

so

(16(1)/(2))/(2(1)/(4))

Convert mixed number to an improper fraction

$16(1)/(2)\ km=(16*2+1)/(2)=(33)/(2)\ km$

$2(1)/(4)\ km=(2*4+1)/(4)=(9)/(4)\ km/week$

substitute

$(33/2)/(9/4)=(132)/(18)\ weeks$

Convert to mixed number

$(132)/(18)\ weeks=(126)/(18)+(6)/(18)=7(1)/(3)\ weeks$