SOLUTION: two busses are 515 miles apart. At 9:30 AM they start traveling toward each other at rates of 48 and 55 miles per hour. At what time will they pass each other?

Question 151766: two busses are 515 miles apart. At 9:30 AM they start traveling toward each other at rates of 48 and 55 miles per hour. At what time will they pass each other?
Answer by orca(409) (Show Source): You can put this solution on YOUR website!
Use the following fact to set up an equation:
when they meet each other, the sum of the distances they traveled is 515 miles .
Suppose that it takes x hours for them to meet each other.
The distance covered by the first bus is 48x.
The distance covered by the first bus is 55x.
Their sum is 48x + 55x.
Setting it equal to 515, we have
48x + 55x = 515
Solving the equation for x, we obtain
103x = 515
x = 5
Therefore it takes 5 hours for them to meet each other.
So the time is 14:30.

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