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Amit travels a certain distance with 3 bikes- A, B and C. The speed of bike C is 1 km/hour less than the speed of bike B, the speed of bike B is one less than the bike A. Amit travelled 330 km with bike A. He travelled a distance which is 120 km less than the previous distance of bike B and the distance he travelled on bike C was 60 km more than the distance he travelled at bike B. He took a total time of 81 hours to travel the entire distance on 3 bikes. Find the speed of bike A?
1. 7 km/hr
2. 12 km/hr
3. 9 km/hr
4. 11 km/hr

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Correct Answer - Option 4 : 11 km/hr

Given:

The speed of bike C is one less than the speed of bike B.

The speed of bike B is one less than the bike A.

Amit travelled 330 km with bike A.

He travelled a distance which is 120 km less than the previous distance on bike B and the distance he travelled on bike C was 60 km more than the distance he travelled at bike B.

He took a total time of 81 hours to travel the entire distance on 3 bikes.

Formula Used:

Distance = time x speed

Calculation:

Let the speed of bike A be x km/hr, then speed of bike B will be (x – 1) km/hr, and speed of bike C be (x – 2) km/hr.

ATQ,

330/x + 210/(x – 1) + 270/(x – 2) = 81

Checking and putting the options in the above equation, it can be shown that x = 11 satisfies the equation.

∴ Speed of the bike A is 11 km/hr.

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