A student covers the distance from his house to school at 5 km/h and arrives 8 minutes late. The next day, he walks at 6 km/h and arrives 2 minutes early. Find the distance between his house and the school. MCQ with Answer and Explanation

A student covers the distance from his house to school at 5 km/h and arrives 8 minutes late. The next day, he walks at 6 km/h and arrives 2 minutes early. Find the distance between his house and the school.
A. 4 km
B. 6 km
C. 5 km
D. 8 km
Answer: Option C
Solution (By JKSSB Mock Tests)
Time difference = 8 - (-2) = 10 minutes = 1/6 hour. Let distance be d. d/5 - d/6 = 1/6 => d/30 = 1/6 => d = 5 km.

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Practice More Time Speed and Distance Questions

Question #1
A car covers a distance of 360 km at a uniform speed. If the speed had been 15 km/h more, it would have taken 2 hours less for the journey. Find the original speed of the car.
A. 50 km/h
B. 60 km/h
C. 55 km/h
D. 45 km/h

Correct Answer: Option D


Explanation:
Let original speed be s. 360/s - 360/(s+15) = 2 => 180/s - 180/(s+15) = 1 => 180(15) = s(s+15) => 2700 = s(s+15). Solving s^2 + 15s - 2700 = 0 gives (s - 45)(s + 60) = 0. Since speed is positive, s = 45 km/h.

This question belongs to: Maths Time Speed and Distance
Question #2
A boat can row 15 km/h in still water. If the velocity index of the stream tracks at 3 km/h, find the time parameter taken by the boat to row 36 km upstream.
A. 4.0 hours
B. 2.5 hours
C. 3.0 hours
D. 3.5 hours

Correct Answer: Option C


Explanation:
Upstream speed = 15 - 3 = 12 km/h. Time taken = Distance / Upstream speed = 36 / 12 = 3 hours.

This question belongs to: Maths Time Speed and Distance
Question #3
A high-speed train travels at 162 km/h. How many meters does it cover in exactly 8 seconds?
A. 360 meters
B. 380 meters
C. 400 meters
D. 320 meters

Correct Answer: Option A


Explanation:
Speed in m/s = 162 * (5/18) = 9 * 5 = 45 m/s. Distance covered in 8 seconds = 45 * 8 = 360 meters.

This question belongs to: Maths Time Speed and Distance