A car travels a distance of 240 km at a uniform speed. If the speed is reduced by 10 km/h, it takes 2 hours longer. Find the original speed. MCQ with Answer and Explanation

A car travels a distance of 240 km at a uniform speed. If the speed is reduced by 10 km/h, it takes 2 hours longer. Find the original speed.
A. 60 km/h
B. 50 km/h
C. 30 km/h
D. 40 km/h
Answer: Option D
Solution (By JKExamLibrary)
Let original speed be s. 240 / (s - 10) - 240 / s = 2 => 120 / (s - 10) - 120 / s = 1 => 1200 = s(s - 10). Solving s^2 - 10s - 1200 = 0 gives (s - 40)(s + 30) = 0. Since speed is positive, s = 40 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 boatman rows 1 km in 5 minutes along the stream and 1 km in 12 minutes against the stream. Find the speed of the stream.
A. 4 km/h
B. 3.5 km/h
C. 5 km/h
D. 4.5 km/h

Correct Answer: Option B


Explanation:
Downstream speed = 1 km / (5/60 hours) = 12 km/h. Upstream speed = 1 km / (12/60 hours) = 5 km/h. Speed of stream = (Downstream speed - Upstream speed) / 2 = (12 - 5) / 2 = 3.5 km/h.

This question belongs to: Maths Time Speed and Distance
Question #2 Report Error
A sound wave maps along a linear distance path at 340 m/s. How many kilometers does it cover in exactly 25 seconds?
A. 8.0 km
B. 9.0 km
C. 8.5 km
D. 9.5 km

Correct Answer: Option C


Explanation:
Distance = Speed * Time = 340 * 25 = 8500 meters. Converting to kilometers = 8500 / 1000 = 8.5 km.

This question belongs to: Maths Time Speed and Distance
Question #3 Report Error
A train 130 meters long passing a platform 170 meters long takes 15 seconds. Find the speed of the train in km/h.
A. 72 km/h
B. 80 km/h
C. 84 km/h
D. 64 km/h

Correct Answer: Option A


Explanation:
Total distance = 130 + 170 = 300 meters. Speed = 300 / 15 = 20 m/s. In km/h = 20 * (18/5) = 72 km/h.

This question belongs to: Maths Time Speed and Distance