Mr. Pillot always rides his bicycle to work, and he begins his ride at the same time every day. If he averages 10 miles per hour, he arrives at work 2 minutes late, but, if he averages 15 miles per hour, he arrives 1 minute early. How many miles does Mr. Pillot ride to work? Express your answer as a decimal to the nearest tenth.

10 miles per hours =1/6 miles per minute

15 miles per hours=1/4 miles per minute

Now, assume he need x minute to rides  his bicycle to  work.

if he averages 10 miles per hour ,then he need (x+2) minute to arrives at work

if he averages 15 miles per hour,then he need (x-1)minute to arrives at work

distance equal velocity multiply by time. d=v*t

distance did not change,so we can set up an equation like

1/6*(x+2)=1/4*(x-1)

       x+2=1.5(x-1)

       x+2=1.5x-1.5

      0.5x=3.5

      x=7

If if he average speed is 15  miles per hour (1/4 miles per minute), he need 7-1=6 minute  to arrive at work  

6*(1/4)=3/2 miles=1.5 miles

Same,If he average speed is 10 miles per hour (1/6 miles per minute),he need 7+2=9 minute to arrive at work.

9*(1/6)=3/2 miles=1.5 miles (I just checking)

Step-by-step explanation:

answer:

(-8,7)

explanation:

we know that  

f

(

−

3

)

=

7

therefore, if we wish to get the output as 7, in the function, we need to have our input to be -3.

looking at the function  

f

(

x

+

5

)

, what should the value of x be, such that the input in the function becomes 7?

we simply equate the terms,

x

+

5

=

−

3

x

=

−

8

thus, the point on the new function would be  

(

−

8

,

7

)

idk

step-by-step explanation:

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