A motor cycle covers 40 km with a speed of 20 km hr find the speed of the motor cycle for the next 4...........

Quant (SSC) Time & distance

A motor-cycle covers 40 km with a speed of 20 km/hr. find the speed of the motor-cycle for the next 40 km journey so that the average speed of the whole journey will be 30 km/hr.

70 km/hr

52.5 km/hr

60 km/hr

60.5 km/hr

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Explanation:

Given,
Average speed of whole journey = 30 km/hr
x = speed of first 40 km = 20 km/hr
⇒ 30 = 2 × 20 × y / 20 + y
⇒ 600 + 30y = 40y
⇒ 10y = 600
⇒ y = 600/10 = 60 km/hr