A local train spans a track sector in 40 minutes. If its speed is lowered by 6 km/h, it tracks the same sector in 45 minutes. Find the distance of this track sector. MCQ with Answer and Explanation

A local train spans a track sector in 40 minutes. If its speed is lowered by 6 km/h, it tracks the same sector in 45 minutes. Find the distance of this track sector.
A. 36 km
B. 44 km
C. 32 km
D. 40 km
Answer: Option A
Solution (By JKSSB Mock Tests)
Let original speed be s. s * (40/60) = (s - 6) * (45/60) => 40s = 45s - 270 => 5s = 270 => s = 54 km/h. Distance = 54 * (40/60) = 36 km.

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Practice More Time Speed and Distance Questions

Question #1
A car covered a distance of 400 km at a uniform speed. If the uniform speed index is lowered by 10 km/h, the journey takes 2 hours longer. Find the original speed.
A. 55 km/h
B. 45 km/h
C. 50 km/h
D. 60 km/h

Correct Answer: Option C


Explanation:
Let original speed be s. 400 / (s - 10) - 400 / s = 2 => 200 / (s - 10) - 200 / s = 1 => 2000 = s(s - 10). Solving s^2 - 10s - 2000 = 0 yields (s - 50)(s + 40) = 0. Original speed = 50 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. 12:40 PM
B. 12:00 PM
C. 12:20 PM
D. 1:00 PM

Correct Answer: Option C


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
A train passes a milestone in 6 seconds. If the speed of the train is 60 km/h, find the length of the train.
A. 80 meters
B. 100 meters
C. 120 meters
D. 150 meters

Correct Answer: Option B


Explanation:
Speed of train = 60 * (5/18) = 50/3 m/s. Length of train = Speed * Time = (50/3) * 6 = 100 meters.

This question belongs to: Maths Time Speed and Distance