# A car travels at 55 mph for 24 min. Then travels at 75 mph for 135 min. Find the total distance the car traveled. The car travels at 55 mph for 24 min. The distance traveled is 55*(24/60) miles.

It then travels at 75 mph for 135 min. The distance traveled is 75*(135/60) miles.

The total distance traveled by the car is 55*(24/60) + 75*(135/60)

=> 1320/60 + 10125/60

=> 190.75

The car travels 190.75 miles.

Approved by eNotes Editorial Team Let the first speed be S1 = 55 mph and the time is T1 = 24 min.

The second speed is S2= 135 and the time is T2 = 135 min.

We need to find the total distance .

Let the total diostance be D = D1 + D2

Let us calculate.

First we will need to convert the time to hours since we are given the speed in hours.

==> T1 = 24 min = 24*1/60 hour = 0.4 hour.

==> T1 = 0.4

==> T2 = 135 min = 135*1/60 hour = 2.25 hour.

==> T2 = 2.25

Now we will calculate the distance.

==> D1 = S1*T1 = 55* 0.4 = 22 miles.

==> D2 = S2*T2 = 75*2.25 = 168.75 miles

==> D = 22 + 168.75 = 190.75 miles.

Then the total distance is 190.75 miles.

Approved by eNotes Editorial Team