A car covers a distance from town X to town Y at a speed of 45 km/h and returns at a speed of 75 km/h. If the total journey takes 8 hours, find the one-way distance between the two towns. MCQ with Answer and Explanation

A car covers a distance from town X to town Y at a speed of 45 km/h and returns at a speed of 75 km/h. If the total journey takes 8 hours, find the one-way distance between the two towns.
A. 210 km
B. 250 km
C. 225 km
D. 240 km
Answer: Option C
Solution (By JKExamLibrary)
Let the one-way distance be d km. Time taken forward = d/45 and return = d/75. Given: d/45 + d/75 = 8. (5d + 3d) / 225 = 8 => 8d / 225 = 8 => d = 225 km.

This question belongs to: Maths Time Speed and Distance

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Practice More Time Speed and Distance Questions

Question #1 Report Error
Two trains start from stations A and B and travel towards each other at speeds of 50 km/h and 60 km/h respectively. At the time of their meeting, the second train has traveled 120 km more than the first. Find the distance between A and B.
A. 1200 km
B. 1440 km
C. 1320 km
D. 1500 km

Correct Answer: Option C


Explanation:
Let the time they travel before meeting be t hours. Distance difference = 60t - 50t = 10t = 120 km => t = 12 hours. Total distance = (50 + 60) * t = 110 * 12 = 1320 km.

This question belongs to: Maths Time Speed and Distance
Question #2 Report Error
A sound wave travels at a speed of 330 m/s. If the echo of a sound is heard from a wall after 2 seconds, find the distance of the wall from the source.
A. 600 meters
B. 300 meters
C. 660 meters
D. 330 meters

Correct Answer: Option D


Explanation:
Total distance traveled by the sound wave to the wall and back = Speed * Time = 330 * 2 = 660 meters. Distance to the wall = 660 / 2 = 330 meters.

This question belongs to: Maths Time Speed and Distance
Question #3 Report Error
A boatman can row 12 km/h in still water. If the river velocity index tracks at 2 km/h, find the time parameter required by the boat hull to row 40 km upstream.
A. 3.5 hours
B. 5.0 hours
C. 4.5 hours
D. 4.0 hours

Correct Answer: Option D


Explanation:
Upstream speed = 12 - 2 = 10 km/h. Time required = Distance / Upstream Speed = 40 / 10 = 4 hours.

This question belongs to: Maths Time Speed and Distance