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faithmaried12 faithmaried12
  • 11-04-2016
  • Mathematics
Answered

A road crew must repave a road that is 2/5 miles long. They can repave 1/30 miles each hour. How long will it take the crew to repave the road?

Verified Answer :

Anonymous Anonymous
  • 19-07-2019

Answer with explanation:

Total length of road \(=\frac{2 \text{miles}}{5}\)

Amount Repaved per Hour

\(=\frac{1 \frac{\text{miles}}{\text{hour}}}{30}\)

Using Unitary method

 \(\Rightarrow 1 \text{hour}=\frac{1 \text{miles}}{30}\\\\\Rightarrow 30 \text{hour}=1 \text{miles}}\\\\\Rightarrow \frac{2\text{miles}}{5}=30 \times \frac{2}{5} \text{hour}\\\\\Rightarrow \frac{2\text{miles}}{5}=12 \text{hour}\)

Total time taken by crew to repave the road= 12 hour

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