Concept explainers
Find the time it took the winner to complete the race.
Answer to Problem 21CB
About 2.8 hours
Explanation of Solution
Given :
A popular racetrack is 2.5 miles long.A race is completed in 150 laps.One year, the winner’s average speed was 161 miles per hour.During cautionary lap runs, the speed was only about 80 miles per hour.The race had 30 cautionary laps.
Formula Used:
Calculation:
Given:
Length of racetrack = 2.5 miles
Average speed of winner = 161 miles per hour
Speed during cautionary lap run = 80 miles per hour
Number of cautionary laps in the race = 30
Total number of laps in a race = 150
So, the number of non-cautionary laps = 150 − 30 = 120
Length of racetrack in 30 laps =
So, time taken to complete cautionary laps =
Length of racetrack in 120 laps =
So, time taken to complete non-cautionary laps =
So, total time taken to complete the race =
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