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

Answer:

The Total distance she travel fro work is 30 miles  .

Step-by-step 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 = $\frac{1}{2}$ hour

Distance = Speed × Time

∴  $D_1$ = 32 mph  ×  $\frac{1}{2}$ 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 =  $\frac{1}{4}$ hour

∴  $D_2$ = 56 mph  ×  $\frac{1}{4}$ 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