Two cars A and B depart an intersection at the same time at right angles. A moves North at 36 km/h and B travels East at 48 km/h. Find the direct distance separating them after 30 minutes. MCQ with Answer and Explanation

Two cars A and B depart an intersection at the same time at right angles. A moves North at 36 km/h and B travels East at 48 km/h. Find the direct distance separating them after 30 minutes.
A. 30 km
B. 27 km
C. 33 km
D. 36 km
Answer: Option A
Solution (By JKSSB Mock Tests)
Time = 30 minutes = 0.5 hours. Distance covered by A = 36 * 0.5 = 18 km. Distance covered by B = 48 * 0.5 = 24 km. Direct distance = sqrt(18^2 + 24^2) = sqrt(324 + 576) = sqrt(900) = 30 km.

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Practice More Time Speed and Distance Questions

Question #1
A boat can row 10 km/h in still water and the river current marks 4 km/h. Find the time required to complete 42 km downstream.
A. 4.0 hours
B. 3.5 hours
C. 2.5 hours
D. 3.0 hours

Correct Answer: Option D


Explanation:
Downstream speed = 10 + 4 = 14 km/h. Time taken = Distance / Downstream speed = 42 / 14 = 3 hours.

This question belongs to: Maths Time Speed and Distance
Question #2
A boatman rows 24 km downstream and 12 km upstream, taking 2 hours for each leg of the journey. Find the speed of the boat in still water.
A. 8 km/h
B. 11 km/h
C. 10 km/h
D. 9 km/h

Correct Answer: Option D


Explanation:
Downstream speed = 24 / 2 = 12 km/h. Upstream speed = 12 / 2 = 6 km/h. Speed in still water = (12 + 6) / 2 = 9 km/h.

This question belongs to: Maths Time Speed and Distance
Question #3
A person travels a distance of 24 km at a speed of 6 km/h, another 24 km at 8 km/h and a third 24 km at 12 km/h. Find his average speed for the whole journey.
A. 8 km/h
B. 9 km/h
C. 7.5 km/h
D. 8.5 km/h

Correct Answer: Option A


Explanation:
Total distance = 24 + 24 + 24 = 72 km. Total time = 24/6 + 24/8 + 24/12 = 4 + 3 + 2 = 9 hours. Average speed = 72 / 9 = 8 km/h.

This question belongs to: Maths Time Speed and Distance