A car covered a distance of 180 km at a uniform speed. If the speed is reduced by 5 km/h, the journey takes 1 hour longer. Find the original speed. MCQ with Answer and Explanation

A car covered a distance of 180 km at a uniform speed. If the speed is reduced by 5 km/h, the journey takes 1 hour longer. Find the original speed.
A. 30 km/h
B. 25 km/h
C. 35 km/h
D. 40 km/h
Answer: Option A
Solution (By JKExamLibrary)
Let original speed be s. 180 / (s - 5) - 180 / s = 1 => 180(5) = s(s - 5) => 900 = s(s - 5). Solving s^2 - 5s - 900 = 0 gives (s - 30)(s + 25) = 0. Since speed is positive, s = 30 km/h.

This question belongs to: Maths Time Speed and Distance

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Practice More Time Speed and Distance Questions

Question #1 Report Error
A merchant van covers 120 km at 40 km/h, 180 km at 60 km/h and 100 km at 50 km/h. Find the net average speed.
A. 50 km/h
B. 52 km/h
C. 54 km/h
D. 48 km/h

Correct Answer: Option A


Explanation:
Total distance = 120 + 180 + 100 = 400 km. Total time = (120/40) + (180/60) + (100/50) = 3 + 3 + 2 = 8 hours. Average speed = 400 / 8 = 50 km/h.

This question belongs to: Maths Time Speed and Distance
Question #2 Report Error
A car tracks a total segment of 360 km. If the uniform speed is boosted by 15 km/h, it covers the course in 4 hours flat. Find the original speed.
A. 80 km/h
B. 85 km/h
C. 75 km/h
D. 70 km/h

Correct Answer: Option C


Explanation:
New speed = 360 / 4 = 90 km/h. Since the new speed is 15 km/h faster than original speed, original speed = 90 - 15 = 75 km/h.

This question belongs to: Maths Time Speed and Distance
Question #3 Report Error
A train 180 meters long is tracking at a uniform speed of 72 km/h. How many seconds will it take to clear a stationary passenger standing on a platform?
A. 8 seconds
B. 11 seconds
C. 9 seconds
D. 10 seconds

Correct Answer: Option C


Explanation:
Speed of train = 72 * (5/18) = 20 m/s. Time taken to clear the passenger = 180 / 20 = 9 seconds.

This question belongs to: Maths Time Speed and Distance