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Given below are two statements based on the following: A Car travels 25 km/hour faster than a bus for a journey of 500 Km. and the bus takes 10 hours
Question



Given below are two statements based on the following: A Car travels 25 km/hour faster than a bus for a journey of 500 Km. and the bus takes 10 hours more than the car.
Statement (I): Speed of the car is 45 km/hour.
Statement (II): Speed of the bus is 20 km/hour.
In the light of the above statements, choose the correct answer from the options given below:

A.

Both Statement (I) and Statement (II) are true

B.

Both Statement (I) and Statement (II) are false

C.

Statement (I) is true but Statement (II) is false

D.

Statement (I) is false but Statement (II) is true

Correct option is B

Let the speed of the car be x km/hr.
Speed of bus = (x - 25) km/hr
According to the question,
[500/(x - 25)] - (500/x) = 10
500 × 25 = 10x(x - 25)
(x - 25)x = 50 × 25
x^2- 25x = 1250
By solving the above equation
x = 50 km/hr & x - 25 = 25 km/hr
∴ Speed of the Bus = 50 - 25 = 25 km/hr

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