A real estate agent drives from his house to an office at 10 km/h and arrives 12 minutes late. If he increases his speed to 15 km/h, he arrives 4 minutes early. Find the distance. MCQ with Answer and Explanation

A real estate agent drives from his house to an office at 10 km/h and arrives 12 minutes late. If he increases his speed to 15 km/h, he arrives 4 minutes early. Find the distance.
A. 12 km
B. 10 km
C. 6 km
D. 8 km
Answer: Option D
Solution (By JKSSB Mock Tests)
Time difference = 12 - (-4) = 16 minutes = 16/60 = 4/15 hours. Let distance be d. d/10 - d/15 = 4/15 => (3d - 2d) / 30 = 4/15 => d / 30 = 4/15 => d = 8 km.

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Practice More Time Speed and Distance Questions

Question #1
A vehicle covers a lap distance of 450 km at a uniform speed. If its velocity is cut by 15 km/h, the trip maps 1.5 hours longer. Find the original speed.
A. 90 km/h
B. 60 km/h
C. 80 km/h
D. 75 km/h

Correct Answer: Option D


Explanation:
Let original speed be s. 450/(s-15) - 450/s = 1.5 => 300/(s-15) - 300/s = 1 => 300(15) = s(s-15) => 4500 = s(s-15). Solving s^2 - 15s - 4500 = 0 gives (s-75)(s+60) = 0. Baseline speed = 75 km/h.

This question belongs to: Maths Time Speed and Distance
Question #2
Two points P and Q are 210 km apart. Train A leaves P for Q at 50 km/h at 10:00 AM. Train B leaves Q for P at 70 km/h at 11:00 AM. At what time will they pass each other?
A. 1:00 PM
B. 12:00 PM
C. 12:40 PM
D. 12:20 PM

Correct Answer: Option D


Explanation:
By 11:00 AM, Train A covers 50 km * 1 hour = 50 km. Remaining distance = 210 - 50 = 160 km. Relative speed = 50 + 70 = 120 km/h. Time to meet after 11:00 AM = 160 / 120 = 4/3 hours = 1 hour 20 minutes. Meeting time = 11:00 AM + 1 hour 20 minutes = 12:20 PM.

This question belongs to: Maths Time Speed and Distance
Question #3
Excluding stoppages, the speed of a train is 72 km/h and including stoppages it is 60 km/h. How many minutes does the train stop per hour?
A. 8 minutes
B. 10 minutes
C. 15 minutes
D. 12 minutes

Correct Answer: Option B


Explanation:
Stoppage time per hour = (72 - 60) / 72 = 12 / 72 = 1/6 hour. In minutes = (1/6) * 60 = 10 minutes.

This question belongs to: Maths Time Speed and Distance