Problema Solution

What is the rate of a car if it needs to overtake a bus in 5 hours if the bus is travelling 45 kph and left 4 hours before the car?

Answer provided by our tutors

Let

v1 = the rate of the car

t1 = 5 hr the time of the car

v2 = 45 kph the rate of the bus

t2 = t1 + 4

t2 = 5 + 4

t2 = 9 hr the time of the bus

Since distance = speed*time and both, the car and the bus, traveled the same distance we have:

v1t1 = v2t2

5v1 = 45*9

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click here to see the equation solved for v1

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v1 = 81 kph

The rate of the car is 81 kph.