Multiple choice

Directions: Select the correct alternative from the given choices. In a 6 km long race, A beats B by 20 seconds, B beats D by 70 seconds, and C beats D by 40 seconds. If the speed of A is 54 km/hr, by what distance does B beat C?

  1. 360 m

  2. 400 m

  3. 375 m

  4. 380 m
Reveal answer Fill a bubble to check yourself
B Correct answer
AI explanation

Using the relation Time equals Distance divided by Speed, runner A takes 6 km divided by 54 km/hr, which equals 400 seconds to finish the race. B takes 420 seconds, D takes 490 seconds, and C takes 450 seconds to complete the same 6 km race. Since B finishes in 420 seconds and C finishes in 450 seconds, when B finishes, C still runs for 30 seconds at a speed of 6000 m divided by 450 s, or 13.33 m/s; multiplying this speed by 30 s shows B beats C by 400 m.

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