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. If Tanner's average cycling speed is 5 miles an hour less than 4 times Isabella's average running speed, what are their 2 speeds?

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.

x = ± 6i

step-by-step explanation:

x^2 = -36

take the square root of each side

sqrt(x^2) = sqrt(-36)

we know sqrt(ab) = sqrt(a) sqrt(b)

x = ±sqrt(36) sqrt(-1)

we know that sqrt (-1) = i

x = ± 6i

v = 1/3 a^2h

step-by-step explanation:

the volume is 1/3 a^2h.