SOLUTION: I need help on the word problem. Alex and Betty walk at 4 mph to their car. It takes them almost an hour. In their car, they travel (at 16 mph) the same distance as they walked. Al

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: I need help on the word problem. Alex and Betty walk at 4 mph to their car. It takes them almost an hour. In their car, they travel (at 16 mph) the same distance as they walked. Al      Log On

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Question 502437: I need help on the word problem. Alex and Betty walk at 4 mph to their car. It takes them almost an hour. In their car, they travel (at 16 mph) the same distance as they walked. All together, their walking and traveling by car took exactly one hour. How long did they walk?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Alex and Betty walk at 4 mph to their car. It takes them almost an hour.
In their car, they travel (at 16 mph) the same distance as they walked.
All together, their walking and traveling by car took exactly one hour.
How long did they walk?
:
Let t = time spent walking (in hrs)
then it said the round trip took 1 hr therefore:
(1-t) = time spent driving
:
The walking dist and the driving dist is the same, write a dist equation: dist = speed * time
:
walk dist = drive dist
4t = 16(1-t)
4t = 16 - 16t
4t + 16t = 16
20t = 16
t = 16%2F20
t = .8 hrs walking
:
:
:
Check this (.2 hrs driving)
4(.8) = 3.2 mi
16(.2)= 3.2 mi; confirms our solution of .8 hrs spend walking