Two cars leave a location simultaneously at a right angle to each other. Their speeds are 36 km/h and 48 km/h respectively. Find the direct distance between them after 15 minutes. MCQ with Answer and Explanation

Two cars leave a location simultaneously at a right angle to each other. Their speeds are 36 km/h and 48 km/h respectively. Find the direct distance between them after 15 minutes.
A. 20 km
B. 15 km
C. 18 km
D. 12 km
Answer: Option B
Solution (By JKExamLibrary)
Time = 15 minutes = 0.25 hours. Distance covered by first car = 36 * 0.25 = 9 km. Distance covered by second car = 48 * 0.25 = 12 km. Since they travel at right angles, distance between them = sqrt(9^2 + 12^2) = sqrt(81 + 144) = sqrt(225) = 15 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
Excluding operational corridor stops, the speed of an inter-provincial bus is 60 km/h, and including stops it tracks at 48 km/h. How many minutes does it stop per hour?
A. 15 minutes
B. 10 minutes
C. 14 minutes
D. 12 minutes

Correct Answer: Option D


Explanation:
Stoppage time per hour = (60 - 48) / 60 = 12 / 60 = 1/5 hour. In minutes = (1/5) * 60 = 12 minutes.

This question belongs to: Maths Time Speed and Distance
Question #2 Report Error
A train passes an electric pole in 12 seconds and a bridge of length 240 meters in 24 seconds. Find the length of the train.
A. 240 meters
B. 200 meters
C. 300 meters
D. 180 meters

Correct Answer: Option A


Explanation:
The train takes 12 seconds to cross its own length and 24 seconds to cross its own length plus the bridge. Therefore, it takes 24 - 12 = 12 seconds to cross the 240-meter bridge. Speed = 240 / 12 = 20 m/s. Length of train = Speed * Time to cross pole = 20 * 12 = 240 meters.

This question belongs to: Maths Time Speed and Distance
Question #3 Report Error
Two trains 140 meters and 160 meters long are running in opposite directions at speeds of 50 km/h and 58 km/h respectively. In what time will they cross each other?
A. 12 seconds
B. 10 seconds
C. 11 seconds
D. 9 seconds

Correct Answer: Option B


Explanation:
Total distance = 140 + 160 = 300 meters. Relative speed in opposite directions = 50 + 58 = 108 km/h = 30 m/s. Time taken = 300 / 30 = 10 seconds.

This question belongs to: Maths Time Speed and Distance