Two cars A and B leave an intersection simultaneously at right angles. A travels North at 60 km/h and B travels East at 80 km/h. Find the direct distance between them after 30 minutes. MCQ with Answer and Explanation

Two cars A and B leave an intersection simultaneously at right angles. A travels North at 60 km/h and B travels East at 80 km/h. Find the direct distance between them after 30 minutes.
A. 70 km
B. 60 km
C. 50 km
D. 40 km
Answer: Option C
Solution (By JKSSB Mock Tests)
Time = 30 minutes = 0.5 hours. Distance covered by A = 60 * 0.5 = 30 km. Distance covered by B = 80 * 0.5 = 40 km. Distance between them = 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
Excluding stoppages, a bus travels at 54 km/h and including stoppages it travels at 45 km/h. How many minutes does the bus stop per hour?
A. 12 minutes
B. 10 minutes
C. 8 minutes
D. 15 minutes

Correct Answer: Option B


Explanation:
Stoppage time per hour = (54 - 45) / 54 = 9 / 54 = 1/6 hour. In minutes = (1/6) * 60 = 10 minutes.

This question belongs to: Maths Time Speed and Distance
Question #2
A man walks a certain distance at a speed of 4 km/h and runs back at 16 km/h. Find his average speed.
A. 10 km/h
B. 8 km/h
C. 9.6 km/h
D. 6.4 km/h

Correct Answer: Option D


Explanation:
Average Speed = (2 * 4 * 16) / (4 + 16) = 128 / 20 = 6.4 km/h.

This question belongs to: Maths Time Speed and Distance
Question #3
A legal clerk walks from his residence to the courthouse at 5 km/h and arrives 15 minutes late. If he sets a pace of 7.5 km/h, he arrives 5 minutes early. Find the distance.
A. 5.0 km
B. 4.5 km
C. 6.0 km
D. 5.5 km

Correct Answer: Option A


Explanation:
Time difference = 15 - (-5) = 20 minutes = 20/60 = 1/3 hours. Let distance be d. d/5 - d/7.5 = 1/3 => (1.5d - d) / 7.5 = 1/3 => 0.5d / 7.5 = 1/3 => d / 15 = 1/3 => d = 5 km.

This question belongs to: Maths Time Speed and Distance