SOLUTION: dylan drove to the beach which is36 kilometers away at 48 kph he drive home the next day at 60 kph how many hours did he spend driving? How do I set this up????

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Question 227076: dylan drove to the beach which is36 kilometers away at 48 kph he drive home the next day at 60 kph how many hours did he spend driving?
How do I set this up????

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
You need 2 equations: 1 for going to the beach,
and one for returning
d+=+r%5B1%5D%2At%5B1%5D
d+=+r%5B2%5D%2At%5B2%5D
given:
d+=+36 km
r%5B1%5D+=+48 km/hr
r%5B2%5D+=+60 km/hr
---------------------
I can now rewrite the equations
36+=+48%2At%5B1%5D
36+=+60%2At%5B2%5D
This is 2 equations and 2 unknowns, so I can solve
t%5B1%5D+=+36%2F48
t%5B1%5D+=+3%2F4
and
t%5B2%5D+=+36%2F60
t%5B2%5D+=+3%2F5
Note that
3%2F4hr x 60min/hr = 45min
and
3%2F5hr x 60min/hr = 36min
t%5B1%5D+%2B+t%5B2%5D+=+45+%2B+36 min
45+%2B+36+=+81min
and
81+-+60+=+21
He spent 1 hour and 21 min driving
check answer:
36+=+48%2At%5B1%5D
36+=+48%2A%283%2F4%29
144+=+144
and
36+=+60%2A%283%2F5%29
180+=+180
OK