A car travels at 55 mph for 24 min. Then travels at 75 mph for 135 min. Find the total distance the car traveled.

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.