Question

A road crew must repave a road that is 4/5 miles long. They can repave 1/20 miles each hour. How long will it take the crew to repave the road

Answer 1

Answer and Step-by-step explanation:

`Good~Day!`

`Let's~solve`your~equation!`

We know that:

→
`(4)/(5)~mi~and~(1)/(20)~mi~per~hour.`

→
`So,~multiply~(4)/(5)~by~a~number~that~will~give~your~denominator~(5)~to~20`

→
`5` ×
`4~is~20,~multiply~(4)/(5)~by~4.`

→
`(16)/(20)~miles,~or~16~hours,~since~(1)/(20)~mi~is~made~per~hour.`

⇒
`So~16~hours~is~your~answer!`

Answer 2

16 hours

Explanation:

Total length of the road that needs to be repaved =
`\[(4)/(5)\]` miles

Total length of the road which is repaved by the road crew per hour =
`\[(1)/(20)\]` miles

Total number of hours required to repave the whole road = (Length of the road to be repaved)/(Length of the road repaved by the crew per hour)

=
`\[(4)/(5) / (1)/(20)\]`

=
`\[(4)/(5) * 20\]`

= 16 hours