Question

In an endurance race, Rachel ran

for 3 1/4 hours, at a speed of 9 3/5
miles per hour. How far did she
run?​

Answer 1

`31(1)/(5)\ miles`

Explanation:

we know that

The speed is equal to divide the distance by the time

so

The distance is equal to multiply the speed by the time

we have

`speed=9(3)/(5)\ (miles)/(hour)`

`time=3(1)/(4)\ hours`

`distance=(9(3)/(5))(3(1)/(4))`

Convert mixed number to an improper fraction

`9(3)/(5)=9+(3)/(5)=(9*5+3)/(5)=(48)/(5)`

`3(1)/(4)=3+(1)/(4)=(3*4+1)/(4)=(13)/(4)`

substitute

`distance=((48)/(5))((13)/(4))=(624)/(20)=31,2\ miles`

Convert to mixed number

`31.2\ mi=31+0.2=31+(1)/(5)=31(1)/(5)\ miles`