Question

A bus leaves Nyeri travelling towards Nairobi at a speed of 70km/h. Half an hour later, a car leaves Nyen travelling in t same direction as the bus at a speed of 90km/h. Calculate the distance travelled by the car when it overtook the bus.​

Answer 1

Explanation:

To calculate the distance traveled by the car when it overtakes the bus, we need to determine the time it takes for the car to catch up with the bus.

Let's assume that the car overtakes the bus after t hours.

In the half hour that the bus has already been traveling, it covers a distance of

• (70 km/h) × (0.5 h) = 35 km.

During the time it takes for the car to catch up with the bus, the relative speed between the car and the bus is

• (90 km/h - 70 km/h) = 20 km/h.

Since the car is traveling faster than the bus, we can set up the equation:

20 km/h × t = 35 km

Simplifying the equation, we find:

t = 35 km / 20 km/h = 1.75 hours

Therefore, the car overtakes the bus after 1.75 hours.

Now, to calculate the distance traveled by the car when it overtakes the bus, we can use the formula:

Distance = Speed × Time

Distance = 90 km/h × 1.75 h = 157.5 km

Hence, the car travels a distance of 157.5 km when it overtakes the bus.