A train passes a static observer in 10 seconds and a platform 150 meters long in 16 seconds. Find the length of the train. MCQ with Answer and Explanation

A train passes a static observer in 10 seconds and a platform 150 meters long in 16 seconds. Find the length of the train.
A. 250 meters
B. 280 meters
C. 300 meters
D. 200 meters
Answer: Option A
Solution (By JKSSB Mock Tests)
Time to cross the platform alone = 16 - 10 = 6 seconds. Speed of train = 150 / 6 = 25 m/s. Length of train = Speed * Time to pass observer = 25 * 10 = 250 meters.

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Practice More Time Speed and Distance Questions

Question #1
A car traveling at a uniform speed covers 240 km. If the speed had been 10 km/h more, it would have taken 1 hour less. Find the initial speed.
A. 50 km/h
B. 45 km/h
C. 35 km/h
D. 40 km/h

Correct Answer: Option D


Explanation:
Let original speed be s. 240 / s - 240 / (s + 10) = 1 => 240(10) = s(s + 10) => 2400 = s(s + 10). Solving s^2 + 10s - 2400 = 0 gives (s - 40)(s + 50) = 0. Since speed is positive, s = 40 km/h.

This question belongs to: Maths Time Speed and Distance
Question #2
A sound wave travels at a speed of 340 m/s. How long does it take to span a line distance of 5.1 km?
A. 20 seconds
B. 18 seconds
C. 15 seconds
D. 12 seconds

Correct Answer: Option C


Explanation:
Distance = 5.1 km = 5100 meters. Time taken = 5100 / 340 = 15 seconds.

This question belongs to: Maths Time Speed and Distance
Question #3
A person runs around a circular track of circumference 400 meters. If his speed is 14.4 km/h, how many rounds can he complete in 10 minutes?
A. 8 rounds
B. 6 rounds
C. 7 rounds
D. 5 rounds

Correct Answer: Option B


Explanation:
Speed = 14.4 km/h = 14.4 * (5/18) = 4 m/s. Time = 10 minutes = 600 seconds. Total distance = 4 * 600 = 2400 meters. Number of rounds = 2400 / 400 = 6 rounds.

This question belongs to: Maths Time Speed and Distance