On a straight road a bus is 30 km ahead of a car travelling in the same direction After 3 hours the ...........

Quantitative Aptitude (CPO) Time & distance

On a straight road, a bus is 30 km ahead of a car travelling in the same direction. After 3 hours, the car is 60 km ahead of the

bus. If the speed of the bus is 42 km/h, then find the speed of the car.

This questions was previously asked in

SSC CPO 9th Nov 2022 Shift 1

67 km/h

72 km/h

65 km/h

59 km/h

To find the speed of the car:

- The bus is initially 30 km ahead of the car.

- After 3 hours, the car is 60 km ahead of the bus.

- So, in those 3 hours, the car has covered 30 km to catch up and an additional 60 km to be ahead. Total distance = 90 km.

- The bus speed is 42 km/h. In 3 hours, the bus covers \(42 \times 3 = 126\) km.

- In those 3 hours, the car covers \(126 + 90 = 216\) km.

- Therefore, the car's speed is \(216 \div 3 = 72\) km/h.

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