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)
Practice Questions
1 question
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)
12 seconds
11 seconds
10 seconds
9 seconds
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.
Questions & Step-by-step Solutions
1 item
Q
Q: 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)
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.
Steps: 7
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.
