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?
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Answer:
84 km/hr
Explanation:
Average speed = 5x + 9x + 4x/3 = 18x /3 = 6x km/hr. Therefore, the average speed of the car and train together is = 5x+9x2= 7x = 7 x 12 = 84 km/hr.
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Given :-
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.
To Find :-
Average speed
Solution :-
Let the ratio be 5x, 9x and 4x
Now
5x + 9x + 4x/3
18x/3
6x
Now
6x = 72
x = 72/6
x = 12 km/h
Therefore
Speed of car = 5x = 5(12) = 60 km/h
Speed of train = 9x = 9(12) = 108 km/h
Average speed of the car and the train together = 108 + 60/2
Average speed of the car and the train together = 168/2
Average speed of the car and the train together = 84 km/h
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