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A car travels 25 km an hour faster than a bus for a journey of 500 km. If the bus takes 10 hours more than the car, then the difference between the speeds of the car and the bus is
- A25
- B35
- C48
- D36
Answer not set
Discussion 1
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CCommunity
Let speed of car be x km/hr.
⇒ Speed of bus = (x - 25) km/hr
We know that,
Time = Distance/Speed
According to question,
[500/(x - 25)] - (500/x) = 10
⇒ 500 × 25 = 10x(x - 25)
(x - 25)x = 50 × 25
⇒ x = 50 km/hr & x - 25 = 25 km/hr
∴ The difference between the speeds of the car and the bus car = 50 - 25 = 25
⇒ Speed of bus = (x - 25) km/hr
We know that,
Time = Distance/Speed
According to question,
[500/(x - 25)] - (500/x) = 10
⇒ 500 × 25 = 10x(x - 25)
(x - 25)x = 50 × 25
⇒ x = 50 km/hr & x - 25 = 25 km/hr
∴ The difference between the speeds of the car and the bus car = 50 - 25 = 25