At 10:00a. m ,pharaoh leaves his office traveling by car to deliver a book to Valerie. He stopped to eat lunch for two hours , and then returned directly to his office , arriving at 2:00pm. If Pharaohs rate going was 60mph and the rate returning was 20 mph, how far is it from pharaohs office to Valerie’s?

30 m

Step-by-step explanation:

Step 1 :

Let x be the distance traveled.

Speed taken while going is given as 60mph.

Hence time taken for the onward journey =x/60

Speed for the return journey is 20mph

Hence time for the return journey is x/20

Step 2:

Total time is from 10 m to 2 pm. Deducting the 2 hours taken for lunch, time spent for the onward and return journey is 2 hrs

=> X/60 + x/20 = 2.

Solving for x we get x = 30

Hence the distance between the office and Valerie's is 30 m

1.4

2.3

step-by-step explanation:

the formula for the constant of variation is

y= kx

divide each side by x

y/x =kx/x

y/x =k

we know a and y

1.   y/x = k

4/1 =4

check the other values to make sure they are the same

8/2 = 4   12/3 =4   and 16/4 =4  

the constant of variation is 4

2.   y/x = k

3/1 =3

check the other values to make sure they are the same

6/2 = 3   9/3 =3   and 12/4 =3  

the constant of variation is 3

answer are

step-by-step explanation: