A commuter drives to his consulting firm at 30 km/h and arrives 15 minutes late. If he increases his speed to 40 km/h, he arrives 5 minutes early. Find the distance to his firm. MCQ with Answer and Explanation

A commuter drives to his consulting firm at 30 km/h and arrives 15 minutes late. If he increases his speed to 40 km/h, he arrives 5 minutes early. Find the distance to his firm.
A. 50 km
B. 40 km
C. 45 km
D. 35 km
Answer: Option B
Solution (By JKSSB Mock Tests)
Time difference = 15 - (-5) = 20 minutes = 20/60 = 1/3 hours. Let distance be d. d/30 - d/40 = 1/3 => (4d - 3d)/120 = 1/3 => d/120 = 1/3 => d = 40 km.

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Practice More Time Speed and Distance Questions

Question #1
The speed of a train is 90 km/h. How many meters does it cross in exactly 12 seconds?
A. 300 meters
B. 320 meters
C. 280 meters
D. 350 meters

Correct Answer: Option A


Explanation:
Speed = 90 * (5/18) = 25 m/s. Distance in 12 seconds = Speed * Time = 25 * 12 = 300 meters.

This question belongs to: Maths Time Speed and Distance
Question #2
A person can row 10 km/h in still water. If the speed of the river current is 3 km/h, find the time taken to row 28 km upstream.
A. 5 hours
B. 6 hours
C. 4 hours
D. 3 hours

Correct Answer: Option C


Explanation:
Upstream speed = 10 - 3 = 7 km/h. Time taken = 28 / 7 = 4 hours.

This question belongs to: Maths Time Speed and Distance
Question #3
A scooter travels from town P to town Q at 30 km/h and returns at 45 km/h. Find the net average speed for the round journey.
A. 38 km/h
B. 35 km/h
C. 37.5 km/h
D. 36 km/h

Correct Answer: Option D


Explanation:
Average Speed = 2xy / (x + y) = (2 * 30 * 45) / (30 + 45) = 2700 / 75 = 36 km/h.

This question belongs to: Maths Time Speed and Distance