Two athletes run a race of 400 meters. The ratio of their speeds is 4 : 5. If the faster runner completes the race, how far ahead is he from the slower runner at that instant? MCQ with Answer and Explanation

Two athletes run a race of 400 meters. The ratio of their speeds is 4 : 5. If the faster runner completes the race, how far ahead is he from the slower runner at that instant?
A. 80 meters
B. 120 meters
C. 60 meters
D. 100 meters
Answer: Option A
Solution (By JKExamLibrary)
When the faster runner covers 5 parts = 400 meters, 1 part = 80 meters. In the same time, the slower runner covers 4 parts = 4 * 80 = 320 meters. Distance between them = 400 - 320 = 80 meters.

This question belongs to: Maths Time Speed and Distance

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Practice More Time Speed and Distance Questions

Question #1 Report Error
Two trains 140 meters and 160 meters long are tracking on parallel routes in opposite directions at 40 km/h and 50 km/h respectively. How long do they take to clear each other?
A. 14 seconds
B. 10 seconds
C. 12 seconds
D. 15 seconds

Correct Answer: Option C


Explanation:
Total distance = 140 + 160 = 300 meters. Relative speed = 40 + 50 = 90 km/h = 90 * (5/18) = 25 m/s. Time taken = 300 / 25 = 12 seconds.

This question belongs to: Maths Time Speed and Distance
Question #2 Report Error
A wheel has a radius of 42 cm. How many revolutions must it make to cover a distance of 132 meters?
A. 50 revolutions
B. 60 revolutions
C. 70 revolutions
D. 40 revolutions

Correct Answer: Option A


Explanation:
Circumference of the wheel = 2 * (22/7) * 42 = 264 cm = 2.64 meters. Total distance = 132 meters. Number of revolutions = 132 / 2.64 = 50 revolutions.

This question belongs to: Maths Time Speed and Distance
Question #3 Report Error
Walking at 4/5 of his normal pace, a student is 8 minutes late. Find his usual time.
A. 32 minutes
B. 40 minutes
C. 36 minutes
D. 28 minutes

Correct Answer: Option A


Explanation:
New speed = 4/5 of usual speed => New time = 5/4 of usual time. Difference = 1/4 of usual time = 8 minutes. Usual time = 8 * 4 = 32 minutes.

This question belongs to: Maths Time Speed and Distance