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. 54 km/h
B. 45 km/h
C. 50 km/h
D. 60 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.

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Practice More Time Speed and Distance Questions

Question #1
A car runs at 60 km/h for 2 hours and then at 40 km/h for another 3 hours. Find the average speed of the car for the entire journey.
A. 48 km/h
B. 52 km/h
C. 46 km/h
D. 50 km/h

Correct Answer: Option A


Explanation:
Distance 1 = 60 * 2 = 120 km. Distance 2 = 40 * 3 = 120 km. Total distance = 240 km. Total time = 2 + 3 = 5 hours. Average speed = 240 / 5 = 48 km/h.

This question belongs to: Maths Time Speed and Distance
Question #2
A boat moves upstream at 8 km/h and downstream at 14 km/h. Find the speed of the river current.
A. 4.0 km/h
B. 3.5 km/h
C. 2.5 km/h
D. 3.0 km/h

Correct Answer: Option D


Explanation:
Speed of the river current = (Downstream speed - Upstream speed) / 2 = (14 - 8) / 2 = 6 / 2 = 3 km/h.

This question belongs to: Maths Time Speed and Distance
Question #3
Two locomotive train units of equal layout lengths pass a single track sign pole in 10 seconds and 15 seconds. If each train length tracks at 120 meters, find the time parameter to pass each other completely when running in opposite directions.
A. 10 seconds
B. 12 seconds
C. 14 seconds
D. 16 seconds

Correct Answer: Option B


Explanation:
Speed of first train = 120 / 10 = 12 m/s. Speed of second train = 120 / 15 = 8 m/s. Total tracking distance = 120 + 120 = 240 meters. Relative speed in opposite directions = 12 + 8 = 20 m/s. Time required = 240 / 20 = 12 seconds.

This question belongs to: Maths Time Speed and Distance