Kris runs half of the distance to school averaging 6mph. he jogs the rest of the way to school averaging 4 mph, and the whole trip takes him 25 minutes. how many minutes will it take him to run the same way home if he averages 8 mph the whole way?

15 minutes.

Step-by-step explanation:

Let x represent the distance from home to school.

Kris runs half of the distance to school averaging 6 mph.

Time = Distance/speed

Time taken to cover the half distance (x/2) at a rate of 6 mph would be:

He jogs the rest of the way to school averaging 4 mph. Time taken to cover the half distance (x/2) at a rate of 4 mph would be: .

Time taken to complete the distance (x) is 25 minutes.

Speed is miles pr hour, so we need to convert time from minutes to hours as:

Using , we will get:

Therefore, the distance between Kris's home and school is 2 miles.

Time = Distance/speed

Therefore, it will take 15 minutes for Kris to reach home.

x = central angle apc = measure of minor arc ac

the two angles x and 30 add to 180, so x+30 = 180 and x = 180-30 = 150. the measure of minor arc ac is 150 degrees.

what we need to do from here is find the circumference and then multiply it by x/360 since there are 360 degrees in a circle. in this case, x = 150, so x/360 = 150/360 = 15/36 = 5/12. the shortest distance along the curve from a to c is 5/12 of the distance around the entire circle (aka circumference)

c = circumference

c = pi*d

c = pi*24

c = 24pi

now multiply this by 5/12 to get

distance along minor arc ac = (5/12)*(circumference)

distance along minor arc ac = (5/12)*(24pi)

distance along minor arc ac = 10pi

the formula you can use is

l = (x/360)*pi*d

with

l = length of minor arc

x = central angle

d = diameter

which essentially is the steps we took though a bit differently.

you cant answer this dummy

step-by-step explanation: