SOLUTION: A boy walked 10 kilometers. He returned in a car at the rate of 30 kilometers an hour. He was gone for 4 hours. What was his rate while walking?

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Question 184850: A boy walked 10 kilometers. He returned in a car at the rate of 30 kilometers an hour. He was gone for 4 hours. What was his rate while walking?
Found 2 solutions by solver91311, josmiceli:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!

Use the formula for distance in terms of rate and time:



If he returned 10 km at 30 km/hr then his time for the return trip must have been:



If his total travel time was 4 hours, then his walking time must be 4 hours minus his travel time in the car, so:



So his 10 km trip took

Using the formula again, this time looking for rate in terms of distance and time:





John


Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
For walking:
d%5Bw%5D+=+r%5Bw%5D%2At%5Bw%5D
For driving:
d%5Bd%5D+=+r%5Bd%5D%2At%5Bd%5D
given:
d%5Bw%5D+=+10 km
d%5Bd%5D+=+10 km
t%5Bw%5D+%2B+t%5Bd%5D+=+4 hrs
r%5Bd%5D+=+30 km/hr
------------------------
t%5Bd%5D+=+4+-+t%5Bw%5D
d%5Bw%5D+=+r%5Bw%5D%2At%5Bw%5D
10+=+r%5Bw%5D%2At%5Bw%5D
and
10+=+30%2A%284+-+t%5Bw%5D%29
10+=+120+-+30t%5Bw%5D
30t%5Bw%5D+=+120+-+10
t%5Bw%5D+=+3.67 hr
d%5Bw%5D+=+r%5Bw%5D%2At%5Bw%5D
10+=+r%5Bw%5D%2A3.67
r%5Bw%5D+=+2.727 km/hr answer
check answer:
10+=+30%2A%284+-+t%5Bw%5D%29
10+=+30%2A%284+-+3.67%29
10+=+30%2A.33
10+=+9.9 close enough