SOLUTION: The distance from Redding to Bishop is 400 miles. A bus leaves Redding headed to Bishop at 55 miles per hour. One hour later a bus leaves Bishop for Redding at 65 miles per hour. H

Question 231700: The distance from Redding to Bishop is 400 miles. A bus leaves Redding headed to Bishop at 55 miles per hour. One hour later a bus leaves Bishop for Redding at 65 miles per hour. How far from Bishop will the two buses be when they pass?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The distance from Redding to Bishop is 400 miles.
A bus leaves Redding headed to Bishop at 55 miles per hour.
One hour later a bus leaves Bishop for Redding at 65 miles per hour.
How far from Bishop will the two buses be when they pass?
------------------------------------------------
Reading bus DATA:
rate = 55 mph ; distance = x mi ; time = x/55 hrs
-------------------------------------------------------
Bishop bus DATA:
rate = 65 mph ; distance = 400-x ; time = (400-x)/65 hrs
---------------------------------------------------------
Equation:
Reading time - Bishop time = 1 hr
---
x/55 = (400-x)/65
65x = 55(400-x)
65x = 55*400 - 55x
120x = 55*400
x = 550/3 miles
---------------------
Distance of meeting from Bishop = 400-(550/3) = 216 2/3 miles
===============================================================
Cheers,
Stan H.
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