SOLUTION: A Sailer on leave drove to Yosemite Park from his home at 60 miles per hour. On his trip home, his rate waws 10 miles per hour less, and the trip took 1 hour longer. How far is his

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: A Sailer on leave drove to Yosemite Park from his home at 60 miles per hour. On his trip home, his rate waws 10 miles per hour less, and the trip took 1 hour longer. How far is his      Log On

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Question 110045: A Sailer on leave drove to Yosemite Park from his home at 60 miles per hour. On his trip home, his rate waws 10 miles per hour less, and the trip took 1 hour longer. How far is his home from the park?
I dont know how to set it up or when you know you got your final answer. The book used a chart, but how do you know where to put the info

Found 2 solutions by edjones, josmiceli:
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
st=d, s=speed, t=time, d=distance
Going s=60, time=t, d=60t
Returning: s=50, time=t+1, d=50(t-1)
The distance is the same so we can make an equation.
60t=50(t+1)
60t=50t+50
60t-50t=50t-50t+50
10t=50
10t/10=50/10
t=5 hrs
going d=60*5=300 mi Answer
Check:
returning d=50*6=300 mi
I hope this helped. Keep working, you'll get it.
Ed

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
d+=+r%2At
what stays the same in both cases? That's the question to ask
d stays the same
d%5B1%5D+=+d%5B2%5D because the distance going is the same coming back, so
r%5B1%5Dt%5B1%5D+=+r%5B2%5Dt%5B2%5D
60t+=+50%28t+%2B+1%29
60t+=+50t+%2B+50
10t+=+50
t+=+5hr
Now find d
d+=+60t
d+=+60%2A5
d+=+300mi answer
check
d+=+50%28t+%2B+1%29
d+=+50%2A5+%2B+50
d+=+250+%2B+50
d+=+300mi
OK