The respective ratio between the speeds of a | vedclass

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Question

(C) Let the speeds of the car,train,and bus be $5x$,$9x$,and $4x$ respectively.Given that the average speed of the car,bus,and train is $72 	ext{ km/

Vedclass · Accepted Answer

$84$

Vedclass · Answer

(C) Let the speeds of the car,train,and bus be $5x$,$9x$,and $4x$ respectively.Given that the average speed of the car,bus,and train is $72 	ext{ km/h}$.Therefore,the sum of their speeds is $5x + 9x + 4x = 72 	imes 3$.$18x = 216$.$x = \frac{216}{18} = 12$.So,the speed of the car is $5 	imes 12 = 60 	ext{ km/h}$ and the speed of the train is $9 	imes 12 = 108 	ext{ km/h}$.The average speed of the car and the train is $\frac{60 + 108}{2} = \frac{168}{2} = 84 	ext{ km/h}$.

The respective ratio between the 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 $72 \text{ km/h}$ together. What is the average speed of the car and the train together? (in $\text{km/h}$)

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