A car covers a total loop distance of 300 km. If the baseline speed is raised by 10 km/h, the trip takes 1 hour less. Find the original speed. MCQ with Answer and Explanation

A car covers a total loop distance of 300 km. If the baseline speed is raised by 10 km/h, the trip takes 1 hour less. Find the original speed.
A. 60 km/h
B. 45 km/h
C. 55 km/h
D. 50 km/h
Answer: Option D
Solution (By JKExamLibrary)
Let original speed be s. 300/s - 300/(s+10) = 1 => 3000 = s(s+10). Solving s^2 + 10s - 3000 = 0 yields (s-50)(s+60) = 0. Speed = 50 km/h.

This question belongs to: Maths Time Speed and Distance

Discuss this Question (0)

No comments yet. Be the first to start the discussion!

Practice More Time Speed and Distance Questions

Question #1 Report Error
A high-speed train clears a stationary post column signal mast in 8 seconds and clears across the full station platform itself, which measures 240 meters long, in 20 seconds. Find the speed index of the train in km/h.
A. 84 km/h
B. 80 km/h
C. 72 km/h
D. 64 km/h

Correct Answer: Option C


Explanation:
Time taken to cross the platform span alone = 20 - 8 = 12 seconds. Speed of train = 240 / 12 = 20 m/s. In km/h index = 20 * (18/5) = 72 km/h.

This question belongs to: Maths Time Speed and Distance
Question #2 Report Error
A modern coach bus covers a distance of 280 km in 4 hours 40 minutes. Find its average speed.
A. 56 km/h
B. 60 km/h
C. 68 km/h
D. 64 km/h

Correct Answer: Option B


Explanation:
Time = 4 hours 40 minutes = 4 + 40/60 = 4.666 hours = 14/3 hours. Speed = Distance / Time = 280 / (14/3) = 280 * 3 / 14 = 20 * 3 = 60 km/h.

This question belongs to: Maths Time Speed and Distance
Question #3 Report Error
Excluding institutional stops, a transit bus routes at 60 km/h and including stops it runs at 50 km/h. How many minutes does the bus stop per hour?
A. 12 minutes
B. 15 minutes
C. 10 minutes
D. 8 minutes

Correct Answer: Option C


Explanation:
Stoppage time per hour = (60 - 50) / 60 = 10 / 60 = 1/6 hour = 10 minutes.

This question belongs to: Maths Time Speed and Distance