Question

Emily and John each ran at a constant speed for a 100-meter race. Emily gave John a 10-meter head start. Use the given data below to determine who won the race and by how many seconds.

John's Run:
A) John won the race by about 3 seconds.
B) Emily won the race by about 3 seconds.
C) John won the race by about 5 seconds.
D) Emily won the race by about 5 seconds.

Answer 1

To determine who won the race and by how many seconds, calculate the time it took for each runner to reach the 100-meter mark. Compare the times to determine the winner.

Step-by-step explanation:

To determine who won the race and by how many seconds, we need to calculate the time it took for each runner to reach the 100-meter mark.

Since Emily gave John a 10-meter head start, we can consider John's run as a 90-meter race. Let's assume both Emily and John ran at a constant speed.

Based on the given information, we can calculate the time it took for John to reach the 100-meter mark:

John's time = (100 m - 90 m) / John's speed

Once we have John's time, we can determine Emily's time:

Emily's time = John's time + 10 seconds

Comparing Emily's and John's times will help us determine who won the race and by how many seconds.