A car covers a certain distance at 45 km/h. If it increases its speed to 60 km/h, it arrives 30 minutes earlier. Find the total distance. MCQ with Answer and Explanation

A car covers a certain distance at 45 km/h. If it increases its speed to 60 km/h, it arrives 30 minutes earlier. Find the total distance.
A. 90 km
B. 100 km
C. 80 km
D. 120 km
Answer: Option A
Solution (By JKSSB Mock Tests)
Time difference = 30 minutes = 0.5 hours. Let distance be d. d / 45 - d / 60 = 0.5 => (4d - 3d) / 180 = 0.5 => d / 180 = 0.5 => d = 90 km.

Discuss this Question (0)

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

Practice More Time Speed and Distance Questions

Question #1
A person covers a certain distance at a certain speed. If he reduces his speed by 20%, he takes 15 minutes more to cover the same distance. Find his usual time.
A. 80 minutes
B. 50 minutes
C. 75 minutes
D. 60 minutes

Correct Answer: Option D


Explanation:
New Speed = 0.8 * Usual Speed. Since distance is constant, New Time = Usual Time / 0.8 = 1.25 * Usual Time. Increase in time = 0.25 * Usual Time = 15 minutes. Usual Time = 15 / 0.25 = 60 minutes.

This question belongs to: Maths Time Speed and Distance
Question #2
A car travels the first half of a total distance at speed v1 and the second half at speed v2. What is the expression for the average speed of the car?
A. v1*v2 / (v1 + v2)
B. 2v1*v2 / (v1 + v2)
C. 2 / (v1 + v2)
D. (v1 + v2) / 2

Correct Answer: Option B


Explanation:
When equal distances are traveled at speeds v1 and v2, the average speed is the harmonic mean: 2v1*v2 / (v1 + v2).

This question belongs to: Maths Time Speed and Distance
Question #3
A boat can row 15 km/h in still water. If the river current flows at 3 km/h, find the distance covered by the boat downstream in 20 minutes.
A. 5 km
B. 8 km
C. 7 km
D. 6 km

Correct Answer: Option D


Explanation:
Downstream speed = 15 + 3 = 18 km/h. Time = 20 minutes = 20/60 = 1/3 hour. Distance covered = Speed * Time = 18 * (1/3) = 6 km.

This question belongs to: Maths Time Speed and Distance