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. 100 meters
D. 60 meters
Answer: Option A
Solution (By JKSSB Mock Tests)
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.

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Practice More Time Speed and Distance Questions

Question #1
A thief escapes at 4:00 AM at 45 km/h. The police pursue him starting at 5:00 AM at 60 km/h. At what time will the thief be apprehended?
A. 9:00 AM
B. 8:00 AM
C. 8:30 AM
D. 7:30 AM

Correct Answer: Option B


Explanation:
By 5:00 AM, the thief has traveled for 1 hour and covered 45 km. Relative speed = 60 - 45 = 15 km/h. Time taken to catch = 45 / 15 = 3 hours. Capture time = 5:00 AM + 3 hours = 8:00 AM.

This question belongs to: Maths Time Speed and Distance
Question #2
A mechanic wheel tracks 3000 revolutions to bridge a course distance of 2640 meters. Find the radius size of the wheel.
A. 16 cm
B. 18 cm
C. 12 cm
D. 14 cm

Correct Answer: Option D


Explanation:
Distance wrapped in 1 turn revolution = 2640 / 3000 = 0.88 meters = 88 cm. Circumference = 2 * (22/7) * r = 88 cm => (44/7) * r = 88 => r = 14 cm.

This question belongs to: Maths Time Speed and Distance
Question #3
Walking at 7/9 of his usual speed, a man reaches his destination 16 minutes late. Find his usual time.
A. 64 minutes
B. 50 minutes
C. 56 minutes
D. 60 minutes

Correct Answer: Option C


Explanation:
New speed = 7/9 of usual speed => New time = 9/7 of usual time. Difference = 2/7 of usual time = 16 minutes. 1/7 of usual time = 8 minutes => Usual time = 56 minutes.

This question belongs to: Maths Time Speed and Distance