In a 100-meter race, A can beat B by 20 meters and B can beat C by 10 meters. By how many meters can A beat C in the same race? MCQ with Answer and Explanation

In a 100-meter race, A can beat B by 20 meters and B can beat C by 10 meters. By how many meters can A beat C in the same race?
A. 28 meters
B. 30 meters
C. 26 meters
D. 32 meters
Answer: Option A
Solution (By JKSSB Mock Tests)
When A covers 100m, B covers 80m. When B covers 100m, C covers 90m. Thus, when B covers 80m, C covers 90 * (80 / 100) = 72m. Therefore, when A covers 100m, C covers 72m. A beats C by 100 - 72 = 28 meters.

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Practice More Time Speed and Distance Questions

Question #1
A delivery coach covers a path of 210 km in 3 hours 30 minutes. What should be its speed to wrap the same distance in exactly 3 hours?
A. 80 km/h
B. 70 km/h
C. 75 km/h
D. 65 km/h

Correct Answer: Option B


Explanation:
Required speed = Distance / Time = 210 / 3 = 70 km/h.

This question belongs to: Maths Time Speed and Distance
Question #2
A cyclist covers 600 meters in 2 minutes. What is his speed in km/h?
A. 15 km/h
B. 22 km/h
C. 18 km/h
D. 20 km/h

Correct Answer: Option C


Explanation:
Time = 2 minutes = 120 seconds. Speed = 600 / 120 = 5 m/s. In km/h = 5 * (18/5) = 18 km/h.

This question belongs to: Maths Time Speed and Distance
Question #3
A legal clerk walks from his residence to the courthouse at 5 km/h and arrives 15 minutes late. If he sets a pace of 7.5 km/h, he arrives 5 minutes early. Find the distance.
A. 5.0 km
B. 5.5 km
C. 6.0 km
D. 4.5 km

Correct Answer: Option A


Explanation:
Time difference = 15 - (-5) = 20 minutes = 20/60 = 1/3 hours. Let distance be d. d/5 - d/7.5 = 1/3 => (1.5d - d) / 7.5 = 1/3 => 0.5d / 7.5 = 1/3 => d / 15 = 1/3 => d = 5 km.

This question belongs to: Maths Time Speed and Distance