Question

It takes Carl 45 minutes to drive to work using two roads. She drives 32 mph on a small road for 1/2 hour. Then she drives 56 mph on a small road for 1/4 hour. How far does she travel for work?

Answer 1

The Total distance she travel fro work is 30 miles .

Explanation:

Given as :

the total time taken to cover distance = 45 minutes

Let The total distance cover = D miles

The distance cover at the speed of 32 mph =
`D_1` miles

The time taken to cover
`D_1` miles distance =
`(1)/(2)` hour

Distance = Speed × Time

∴
`D_1` = 32 mph ×
`(1)/(2)` h

or,
`D_1` = 16 miles

Again ,

The distance cover at the speed of 56 mph =
`D_2` miles

The time taken to cover
`D_2` miles distance =
`(1)/(4)` hour

∴
`D_2` = 56 mph ×
`(1)/(4)` h

or,
`D_2` = 14 miles

So , The total distance she travel for work =
`D_1` +
`D_2`

Or, The total distance she travel for work = 16 miles + 14 miles = 30 miles

Hence The Total distance she travel fro work is 30 miles . Answer