Question
A Mahalaxmi tourist bus with only the driver inside has
a speed of 60 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 16 kmph, if there are 4 passengers. A maximum of how many passengers should be seated so that the bus can move?Solution
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 = 16, when N = 4, hence K = 4 Let M be the Maximum number of passenger that bus can’t move, (60 – M × K) = 0 60 – M × 4 ⇒ M = 15 So number of passenger for bus just move = 15 – 1 = 14
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