Question

jafar runs one lap around a track,representing 1/4 of a mile in 1 2/3 minutes. how long,in minutes,will it take him to run on mile

Answer 1

`6(2)/(3)\ min`

Explanation:

we know that

Jafar runs 1/4 of a mile in 1 2/3 minutes

so

using proportion

Find out how long in minutes will it take him to run on mile

but first convert mixed number to an improper fraction

`1(2)/(3)\ min=(1*3+2)/(3)=(5)/(3)\ min`

Let

x ----> the time in minutes to run one mile

`((1/4))/((5/3))\ (mi)/(min)=(1)/(x)\ (mi)/(min)\\\\x=(5)/(3):(1)/(4)\\\\x=(20)/(3)\ min`

Convert to mixed number

`(20)/(3)\ min=(18)/(3)+(2)/(3)=6(2)/(3)\ min`