SOLUTION: Two cars left a station in Bawku and were travelling to Tamale a distance of 135km away. The second car left 30 minutes after the first car had left. If the speed of the second car

Question 1202680: Two cars left a station in Bawku and were travelling to Tamale a distance of 135km away. The second car left 30 minutes after the first car had left. If the speed of the second car is 3/2 times as fast as the first car, and the second car got to Tamale 45 minutes before the first car arrived
Calculated the speed of each car

Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
.
Two cars left a station in Bawku and were travelling to Tamale a distance of 135km away.
The second car left 30 minutes after the first car had left.
If the speed of the second car is 3/2 times as fast as the first car,
and the second car got to Tamale 45 minutes before the first car arrived,
calculated the speed of each car.
~~~~~~~~~~~~~~~~~~~

Let v be the speed of the first car, in kilometers per hour.

Then the speed of the second car is  ,  according to the problem.


The travel time of the first car is    hours.

The travel time of the second car is   hours, which is the same as  .


The difference of the travel times is 30 + 45 minutes = 75 minutes =  hours =  hours.


So we write this "time equation"

     -  = .


Simplifying left side, we get

     = .


Thus we find

    v =  = 9*4 = 36.


ANSWER.  The speed of the first car is  36 km/h.

         The speed of the second car is   = 3*18 = 54 km/h.

Solved.

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