SOLUTION: A bus is 20 miles from town and is traveling away from town at 60 mph. A car is leaving town at 70 mph traveling the same route as the bus. How long will it take the car to catch t
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Question 668521: A bus is 20 miles from town and is traveling away from town at 60 mph. A car is leaving town at 70 mph traveling the same route as the bus. How long will it take the car to catch the bus? Found 2 solutions by swincher4391, solver91311:Answer by swincher4391(1107) (Show Source):
You can put this solution on YOUR website! The bus is 20 miles from town and is travelling at 60 mph.
The car is 0 miles from town and is travelling at 70 mph.
Let t be the number of hours one travels.
Then we have that the number of miles away from town for the bus is 20 + 60t
Similarly, we have that the number of miles away from town for the car is 70t.
20 + 60t = 70t
20 = 10t
t = 2 hours
To check:
in 2 hours each vehicle will be exactly 140 miles away from town as 60*2 + 20 = 140 and 70 * 2 = 140
They are both going in the same direction. You have to cover the difference in the their displacement from the start point at the difference in their speeds. How long does it take to go 20 miles at 10 miles per hour?
John
My calculator said it, I believe it, that settles it