Two cars A and B leave an intersection simultaneously. A travels North at 45 km/h and B travels East at 60 km/h. Find the direct distance between them after 1 hour. MCQ with Answer and Explanation

Two cars A and B leave an intersection simultaneously. A travels North at 45 km/h and B travels East at 60 km/h. Find the direct distance between them after 1 hour.
A. 85 km
B. 80 km
C. 70 km
D. 75 km
Answer: Option D
Solution (By JKSSB Mock Tests)
In 1 hour, distance covered by A = 45 km, and by B = 60 km. Direct distance = sqrt(45^2 + 60^2) = sqrt(2025 + 3600) = sqrt(5625) = 75 km.

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Practice More Time Speed and Distance Questions

Question #1
A truck covers a distance of 360 km in 6 hours. How much time will it take to cover a distance of 240 km at the same speed?
A. 4.0 hours
B. 5.0 hours
C. 3.5 hours
D. 4.5 hours

Correct Answer: Option A


Explanation:
Speed of truck = 360 / 6 = 60 km/h. Time taken for 240 km = 240 / 60 = 4 hours.

This question belongs to: Maths Time Speed and Distance
Question #2
The ratio between the speeds of two trains is 7:8. If the second train runs 400 km in 4 hours, then the speed of the first train is:
A. 75 km/h
B. 70 km/h
C. 84 km/h
D. 87.5 km/h

Correct Answer: Option D


Explanation:
Speed of second train = 400 / 4 = 100 km/h. Ratio is 7:8, so 8 parts = 100 km/h. 1 part = 12.5 km/h. First train speed = 7 parts = 7 * 12.5 = 87.5 km/h.

This question belongs to: Maths Time Speed and Distance
Question #3
A man rides a bicycle at 12 km/h from his house to his school and reaches 5 minutes late. Next day he increases his speed to 15 km/h and reaches 5 minutes early. Find the distance between his house and school.
A. 12 km
B. 8 km
C. 10 km
D. 15 km

Correct Answer: Option C


Explanation:
Time difference = 5 - (-5) = 10 minutes = 1/6 hour. Let distance be d. d/12 - d/15 = 1/6 => (5d - 4d)/60 = 1/6 => d/60 = 1/6 => d = 10 km.

This question belongs to: Maths Time Speed and Distance