A Volvo tourist bus with only the driver inside has a speed of 80 kmph Its maximum speed reduces by ...........

Quant (SSC) Time and work

A Volvo tourist bus with only the driver inside has a speed of 80 kmph. Its maximum speed reduces by a quantity which is directly proportional to the number of passengers (excluding the driver) seated inside. The maximum speed of the bus reduces by 20 kmph, if there are 5 passengers. A maximum of how many passengers should be seated so that the bus can move?

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Explanation:

If R is the reduction in maximum speed and N is the number of passengers, then R is proportional to N
⇒ R = NK where K is constant of proportionality,
Given data: R = 20, when N = 5, hence K = 4
Maximum number of passenger that bus can’t move = (80 – N × K)
= 80 – N × 4 ⇒ N = 20
So number of passenger for bust just move = 20 – 1 = 19