SOLUTION: going skiing leon drove 270 miles to the lodge in the same time as pat drove to the lodge if pat drove 10 miles poer hour faster than lon then how fast did each of them drive?

Question 81842: going skiing leon drove 270 miles to the lodge in the same time as pat drove to the lodge if pat drove 10 miles poer hour faster than lon then how fast did each of them drive?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Going skiing, Leon drove 270 miles to the lodge in the same time as pat drove to the lodge; if pat drove 10 miles per hour faster than Leon, then how fast did each of them drive?
:
Not enough information here. Need to know the distance Pat drove.
:
Student responded: Pat drove 330 miles
:
Let x = Leon's speed
Then (x+10) = Pat's speed
:
We are told that the time is the same for both, make an equation from this:
Time = distance/speed
:
Leon's time = Pat's time
=
:
Cross multiply and you have:
330x = 270(x+10)
:
330x = 270x + 2700
:
330x - 270x = 2700
:
60x = 2700
:
x = 2700/60
:
x = 45 mph is Leon's speed; then Pat's speed = 55 mph
:
:
Check solution by seeing if the times are equal:
270/45 = 6 hrs
330/55 = 6 hrs
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