SOLUTION: If my car always goes 94 kilometers per hour and I stop at a rest stop for 21 minutes, and I only average 84.9 kilometers per hour on my trip; how many total kilometers did I go an

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: If my car always goes 94 kilometers per hour and I stop at a rest stop for 21 minutes, and I only average 84.9 kilometers per hour on my trip; how many total kilometers did I go an      Log On

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Question 336969: If my car always goes 94 kilometers per hour and I stop at a rest stop for 21 minutes, and I only average 84.9 kilometers per hour on my trip; how many total kilometers did I go and how many hours did it take?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Rate*Time=Distance
R%2At=D
t1 is the time while the car moves at 94 kph.
94%2At1=D
t1=D%2F94
The units are in hours, let's convert to minutes.
t1=%2860%2F94%29D=%2830%2F47%29D
.
.
.
t2 is the time at rest.
t2=21
.
.
.
Average speed is total distance divided by total time.
D%2F%28t1%2Bt2%29=84.9%2F60=849%2F600=283%2F200
D%2F%28%2830%2F47%29D%2B21%29=283%2F200
200D=283%28%2830%2F47%29D%2B21%29
Multiply both side by 47
47%28200D%29=283%2830D%2B47%2A21%29
9400D=8490D%2B279321
9210D=279321
D=306.95km
Then from above,
t1=%2830%2F47%29%28306.95%29=195.9 minutes
t=t1%2Bt2=195.9%2B21=216.9 minutes
t=3.61 hrs
t=3 hrs 37 minutes.