Two cars start from the same spot and travel along perpendicular roads. One travels at 15 km/h and the other at 20 km/h. Find the distance between them after 2 hours. MCQ with Answer and Explanation

Two cars start from the same spot and travel along perpendicular roads. One travels at 15 km/h and the other at 20 km/h. Find the distance between them after 2 hours.
A. 55 km
B. 45 km
C. 60 km
D. 50 km
Answer: Option D
Solution (By JKExamLibrary)
In 2 hours, the first car travels 30 km and the second car travels 40 km. Direct distance = sqrt(30^2 + 40^2) = sqrt(900 + 1600) = sqrt(2500) = 50 km.

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Practice More Time Speed and Distance Questions

Question #1
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

Correct Answer: Option B


Explanation:
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
Question #2
A man can row 6 km/h in still water. If it takes him twice as long to row upstream as to row downstream of a river, then the speed of the stream is:
A. 1.5 km/h
B. 2.5 km/h
C. 2 km/h
D. 3 km/h

Correct Answer: Option C


Explanation:
Let speed of stream be s. Downstream speed = 6 + s. Upstream speed = 6 - s. Given: 2 * (6 - s) = 6 + s => 12 - 2s = 6 + s => 3s = 6 => s = 2 km/h.

This question belongs to: Maths Time Speed and Distance
Question #3
A cyclist tracks 1200 meters in exactly 4 minutes. Find his speed index in km/h.
A. 20 km/h
B. 15 km/h
C. 18 km/h
D. 22 km/h

Correct Answer: Option C


Explanation:
Time = 4 minutes = 240 seconds. Speed = 1200 / 240 = 5 m/s. In km/h = 5 * (18/5) = 18 km/h.

This question belongs to: Maths Time Speed and Distance