The ratio of speeds of a car, a train and a bus is 5 : 9 : 4. The average speed of the car, the train and the bus together is 60 km/h. What is the average speed of the car and the bus together? MCQ with Answer and Explanation
The ratio of speeds of a car, a train and a bus is 5 : 9 : 4. The average speed of the car, the train and the bus together is 60 km/h. What is the average speed of the car and the bus together?
A. 50 km/h
B. 45 km/h
C. 60 km/h
D. 54 km/h
Answer: Option B
Solution (By JKSSB Mock Tests)
Let the speeds be 5x, 9x, and 4x. Average speed of all three = (5x + 9x + 4x) / 3 = 18x / 3 = 6x = 60 km/h => x = 10. Speed of car = 50 km/h, speed of bus = 40 km/h. Average speed of car and bus = (50 + 40) / 2 = 45 km/h.
A vehicle runs at an average speed of 54 km/h. It wraps the first half of the trip duration in 2 hours and the second half duration at 66 km/h. Find the time spent on the second half duration.
Explanation:
Since it specifies 'half of the trip duration', the time for both halves is identical. Time spent on the second half is equal to the first half, which is 2 hours.
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