Answer:
5 miles per hour and 15 miles per hour.
Step-by-step explanation:
Given:
Isabella and Tanner are running in a 100-mile relay race.
First, Isabella runs for 2 hours and hands off to Tanner, who bicycles for 6 hours to the finish line.
Tanner's average cycling speed is 5 miles an hour less than 4 times Isabella's average running speed.
Question asked:
what are their speed ?
Solution:
Let average running speed of Isabella =
Tanner's average cycling speed is 5 miles an hour less than 4 times Isabella's average running speed means,
Tanner's average cycling speed =
Now,
As we know that the total distance is 100 mile which is covered by both together,
Distance traveled by Isabella + Distance traveled by Tanner = 100
Adding both sides by 30
Dividing both sides by 26
Isabella's average running speed
Tanner's average cycling speed = =
Therefore, Isabella's average running speed is 5 miles/hour and Tanner's average cycling speed is 15 miles/hour.