SOLUTION: 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 aft
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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?
the answer is 25 mph, but can you show me how to solve it?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
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
*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
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