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. 45 km/h
B. 40 km/h
C. 35 km/h
D. 50 km/h
Answer: Option B
Solution (By JKSSB Mock Tests)
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.

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Practice More Time Speed and Distance Questions

Question #1
A private sedan tracks a sector path length of 480 km in 5 hours 20 minutes. Find its mean average speed index.
A. 85 km/h
B. 90 km/h
C. 95 km/h
D. 100 km/h

Correct Answer: Option B


Explanation:
Time = 5 hours 20 minutes = 5 + 20/60 = 5.333 hours = 16/3 hours. Speed index = Sector Distance / Time = 480 / (16/3) = 480 * 3 / 16 = 30 * 3 = 90 km/h.

This question belongs to: Maths Time Speed and Distance
Question #2
A wheel makes 1000 revolutions to cover a distance of 880 meters. Find the diameter of the wheel.
A. 32 cm
B. 35 cm
C. 24 cm
D. 28 cm

Correct Answer: Option D


Explanation:
Distance covered in 1 revolution = 880 / 1000 = 0.88 meters = 88 cm. Circumference = 2 * (22/7) * r = 88 cm => (44/7) * r = 88 => r = 14 cm. Diameter = 2r = 28 cm.

This question belongs to: Maths Time Speed and Distance
Question #3
Walking at 8/9 of his normal speed, an analyst reaches his designated terminal 12 minutes late. Find his usual time to reach the terminal.
A. 96 minutes
B. 112 minutes
C. 84 minutes
D. 104 minutes

Correct Answer: Option A


Explanation:
New speed = 8/9 of usual speed => New time = 9/8 of usual time. Difference = 1/8 of usual time = 12 minutes. Usual time = 12 * 8 = 96 minutes.

This question belongs to: Maths Time Speed and Distance