A driver spans a highway path of 400 km. If the uniform speed is boosted by 10 km/h, the trip wraps up in 2 hours less. Find the initial speed. MCQ with Answer and Explanation

A driver spans a highway path of 400 km. If the uniform speed is boosted by 10 km/h, the trip wraps up in 2 hours less. Find the initial speed.
A. 50 km/h
B. 40 km/h
C. 45 km/h
D. 35 km/h
Answer: Option B
Solution (By JKExamLibrary)
Let original speed be s. 400/s - 400/(s+10) = 2 => 200/s - 200/(s+10) = 1 => 2000 = s(s+10). Solving s^2 + 10s - 2000 = 0 yields (s-40)(s+50) = 0. Speed = 40 km/h.

This question belongs to: Maths Time Speed and Distance

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Practice More Time Speed and Distance Questions

Question #1 Report Error
A train running at 60 km/h crosses a bridge 200 meters long in 24 seconds. Find the length of the train.
A. 180 meters
B. 220 meters
C. 240 meters
D. 200 meters

Correct Answer: Option D


Explanation:
Speed = 60 * (5/18) = 50/3 m/s. Total distance in 24 seconds = (50/3) * 24 = 400 meters. Length of train = 400 - 200 = 200 meters.

This question belongs to: Maths Time Speed and Distance
Question #2 Report Error
A man rows a boat 30 km downstream in 3 hours and returns upstream in 6 hours. Find the speed of the stream.
A. 2.5 km/h
B. 3.5 km/h
C. 3.0 km/h
D. 2.0 km/h

Correct Answer: Option A


Explanation:
Downstream speed = 30 / 3 = 10 km/h. Upstream speed = 30 / 6 = 5 km/h. Speed of stream = (10 - 5) / 2 = 2.5 km/h.

This question belongs to: Maths Time Speed and Distance
Question #3 Report Error
A train 130 meters long passes a platform 270 meters long in 20 seconds. What is the speed of the train in km/h?
A. 72 km/h
B. 90 km/h
C. 80 km/h
D. 60 km/h

Correct Answer: Option A


Explanation:
Total distance = 130 + 270 = 400 meters. Speed = 400 / 20 = 20 m/s. In km/h = 20 * (18/5) = 72 km/h.

This question belongs to: Maths Time Speed and Distance