Question

It takes Awan 8 1/3 minutes to run a mile, it takes Kate 1 1/5 time longer. How long does it take Kate to run one mile?

Answer 1

First turn the fractions to decimals 1/3=.33 1/5=.2 Then multiply 8.33 x 1.2=9.996

Answer 2

10 minutes

Explanation:

Given: It takes Awan
`8(1)/(3)` minutes to run a mile, it takes Kate
`1(1)/(5)` time longer.

To Find: How long does it take Kate to run one mile.

Solution:

Time taken by Awan to run a mile =
`8(1)/(3)`
`\text{minutes}`

=
`(25)/(3)`
`\text{minutes}`

Time taken by Kate to run a mile =
`1(1)/(5)*\text{time taken by Awan}`

=
`(6)/(5)*\text{time taken by Awan}`

Therefore,

on putting values

The time taken by Kate =
`(6)/(5)*(25)/(3)`
`\text{minutes}`

=
`(6*25)/(5*3)`

=
`10`
`\text{minutes}`

Hence, the time taken by Kate to complete one mile is
`10`
`\text{minutes}`