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)
12 seconds
11 seconds
10 seconds
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.
