Respuesta :
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 = [tex]x[/tex]
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 = [tex]4x-5[/tex]
Now, [tex]Distance = speed\times time[/tex]
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
[tex]x\times2 + (4x-5)\times6 = 100\\2x +24x-30=100\\26x-30 =100[/tex]
Adding both sides by 30
[tex]26x =1 30\\[/tex]
Dividing both sides by 26
[tex]x=5[/tex]
Isabella's average running speed [tex]x=5 \ miles \ per \ hour[/tex]
Tanner's average cycling speed = [tex]4x-5[/tex] =[tex]4\times5-5 =20 -5 = 15 \ miles\ per \ hour[/tex]
Therefore, Isabella's average running speed is 5 miles/hour and Tanner's average cycling speed is 15 miles/hour.
