Question

jill is running laps on a path around a circular lake. it takes her 18 minutes to complete a single lap her friends ginas house is along he lake . if gina steps outside to watch jill what's the probability she only has to wait 5 minutes to see jill.

Answer 1

To find the probability that Gina only has to wait 5 minutes to see Jill, we need to calculate the portion of time that Jill completes a lap within 5 minutes. The probability is approximately 0.2778 or 27.78%.

Step-by-step explanation:

To find the probability that Gina only has to wait 5 minutes to see Jill, we need to determine the portion of time that Jill completes a lap within 5 minutes. Let's calculate it step by step.

1. Convert Jill's lap time from minutes to seconds: 18 minutes = 18 * 60 = 1080 seconds.
2. Find the portion of time that Jill completes a lap within 5 minutes: 5 minutes = 5 * 60 = 300 seconds.
3. Calculate the probability by dividing the portion of time within 5 minutes by Jill's total lap time: 300 seconds / 1080 seconds = 0.2778 (rounded to four decimal places).

Therefore, the probability that Gina only has to wait 5 minutes to see Jill is approximately 0.2778 or 27.78%.