Question 955649
a hitch hiker begins to walk along a straight road at the rate of 6 mph to the next town, which is 36 miles away.
 after 10 minutes a car picks him up and an hour and a quarter after being picked up he is in town.
 how far was the car traveling?
:
Let d = the distance the car traveled
:
write a dist equation; dist = time*speed (time in hrs)
hiking dist + car dist = 36 miles
{{{10/60}}}*6  +  d = 36
1 + d = 36
d = 36 - 1
d = 35 miles traveled by car
:
You said something about 25 mph, find the speed of the car
35/1.25 = 28 mph is the speed of the car
:
:
Confirm our solution by finding the distance each traveled
10/60 * 6 = 1 mi
1.25 * 28 = 35 mi
-----------------
total dist: 36 mi