The ratio of speeds of a car a train and a bus is 5 9 4 The average speed of the car the bus and the...........

Quant (SSC) Average

The ratio of speeds of a car, a train and a bus is 5:9:4. The average speed of the car, the bus and the train is 72 km/hr together. What is the average speed of the car and the train together ?

84 km/hr

96 km/hr

72 km/hr

60 km/hr

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Explanation:

Let the speeds of the car, train and bus be 5x, 9x and 4x km/hr respectively.
Average speed = 5x + 9x + 4x/3 = 18x /3 = 6x km/hr.
Also, 6x = 72 => x = 12 km/hr
Therefore, the average speed of the car and train together is = (5x+9x)/2= 7x
= 7 x 12 = 84 km/hr.

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