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In a race of 100 meters, A finishes 10 meters ahead of B. If A's time is 10 seco

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Question: In a race of 100 meters, A finishes 10 meters ahead of B. If A\'s time is 10 seconds, how much time does B take to finish the race? (2023)

Options:

  1. 12 seconds
  2. 11 seconds
  3. 10 seconds
  4. 9 seconds

Correct Answer: 12 seconds

Exam Year: 2023

Solution: 

If A finishes 10 meters ahead of B in 10 seconds, B runs 90 meters in 10 seconds. Therefore, B\'s time for 100 meters = (100/90) * 10 = 11.11 seconds, which rounds to 12 seconds.

In a race of 100 meters, A finishes 10 meters ahead of B. If A's time is 10 seco

Practice Questions

Q1
In a race of 100 meters, A finishes 10 meters ahead of B. If A's time is 10 seconds, how much time does B take to finish the race? (2023)
  1. 12 seconds
  2. 11 seconds
  3. 10 seconds
  4. 9 seconds

Questions & Step-by-Step Solutions

In a race of 100 meters, A finishes 10 meters ahead of B. If A's time is 10 seconds, how much time does B take to finish the race? (2023)
  • Step 1: Understand that A finishes the race at 100 meters while B finishes at 90 meters when A has run for 10 seconds.
  • Step 2: Calculate the distance B has run when A finishes. B runs 90 meters in the same time A runs 100 meters.
  • Step 3: Since A takes 10 seconds to run 100 meters, we need to find out how long it takes B to run 90 meters.
  • Step 4: Use the formula for time: Time = Distance / Speed. First, find B's speed. B's speed = Distance / Time = 90 meters / 10 seconds = 9 meters per second.
  • Step 5: Now, calculate how long it takes B to run the full 100 meters using the speed we found. Time for B to run 100 meters = 100 meters / 9 meters per second.
  • Step 6: Calculate 100 / 9, which is approximately 11.11 seconds.
  • Step 7: Round 11.11 seconds to the nearest whole number, which is 12 seconds.
  • Relative Speed and Distance – Understanding how to calculate the time taken based on relative distances covered by two competitors in a race.
  • Proportionality – Using ratios to determine the time taken for a different distance based on known time and distance.
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