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

Answer:

10 minutes

Step-by-step explanation:

Given: It takes Awan  $8\frac{1}{3}$ minutes to run a mile, it takes Kate  $1\frac{1}{5}$ time longer.

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

Solution:

Time taken by Awan to run a mile = $8\frac{1}{3}$ $\text{minutes}$

                                                         = $\frac{25}{3}$ $\text{minutes}$

Time taken by Kate to run a mile = $1\frac{1}{5}\times\text{time taken by Awan}$

                                                       =  $\frac{6}{5}\times\text{time taken by Awan}$

Therefore,

on putting values

The time taken by Kate =  $\frac{6}{5}\times\frac{25}{3}$ $\text{minutes}$

                                      = $\frac{6\times25}{5\times3}$

                                      = $10$ $\text{minutes}$

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

Answer 2

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