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Vishal travelled a certain distance in 2 hr and 15 min. He travelled this distance partly by car and partly by bus. The speed of the bus is 16 km/hr and the speed of car is 32 km/ hr. If the distance travelled by car is equal to distance travelled by bus, what is the total distance that he travelled?

Vishal travelled a certain distance in 2 hr and 15 min. He travelled this distance partly by car and partly by bus. The speed of the bus is 16 km/hr and the speed of car is 32 km/ hr. If the distance travelled by car is equal to distance travelled by bus, what is the total distance that he travelled? Correct Answer 48 km

GIVEN :

Vishal travelled a certain distance in 2 hr and 15 min.

The speed of the bus is 16 km/hr and the speed of car is 32 km/ hr.

 

ASSUMPTION :

Let total distance travelled by Vishal be ‘2x’ km

⇒ Distance travelled by car = Distance travelled by bus = x km

 

CALCULATION :

Speed of car = 32 km/hr

Speed of bus = 16 km/hr

Total time taken = x/32 + x/16 = 2 hr 15 min

⇒ 6x/64 = 9/4

⇒ x = 9/4 × 64/6

⇒ x = 24 km

∴ Total distance travelled = 2x = 2 × 24 = 48 km

 

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