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. 40 km
D. 50 km
Answer: Option D
Solution (By JKExamLibrary)
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.

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 passenger train clears a station side signal pillar in exactly 12 seconds. If the length of the train is 180 meters, find its speed in km/h.
A. 72 km/h
B. 54 km/h
C. 48 km/h
D. 60 km/h

Correct Answer: Option B


Explanation:
Speed of train = 180 / 12 = 15 m/s. Converting to km/h = 15 * (18/5) = 54 km/h.

This question belongs to: Maths Time Speed and Distance
Question #2 Report Error
A man covers a distance of 24 km in 3 hours. If he doubles his speed, how much time will he take to cover a distance of 32 km?
A. 4 hours
B. 2 hours
C. 1 hour
D. 3 hours

Correct Answer: Option B


Explanation:
Original speed = 24 / 3 = 8 km/h. Doubled speed = 16 km/h. Time required for 32 km = 32 / 16 = 2 hours.

This question belongs to: Maths Time Speed and Distance
Question #3 Report Error
The speed of two runners are in the ratio 3 : 5. If the first runner takes 40 seconds to complete a loop, how much time does the second runner take?
A. 26 seconds
B. 22 seconds
C. 24 seconds
D. 28 seconds

Correct Answer: Option C


Explanation:
Ratio of speeds = 3:5, so ratio of times taken = 5:3. Given 5 parts = 40 seconds => 1 part = 8 seconds. Time taken by the second runner = 3 parts = 3 * 8 = 24 seconds.

This question belongs to: Maths Time Speed and Distance