SOLUTION: The distance between town A and town B was 210 km. At 9:20 PM a bus set off from town A to town B and a car from town B to town A. The average speed of the bus was 60 km/h and the

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: The distance between town A and town B was 210 km. At 9:20 PM a bus set off from town A to town B and a car from town B to town A. The average speed of the bus was 60 km/h and the       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1008188: The distance between town A and town B was 210 km. At 9:20 PM a bus set off from town A to town B and a car from town B to town A. The average speed of the bus was 60 km/h and the average speed of the car was 80 km/h. Calculate the time at which the car passed the bus. How far had the car traveled when it past the bus?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
You can think of this problem as one of the
cars standing still and the other traveling at
the sum of their speeds.
The distance the moving car covers is the
sum of the 2 distances which is +210+ km
-------------------------------------
+210+=+%28+60+%2B+80+%29%2At+
+t+=+210%2F140+
+t+=+1.5+ hrs
---------------
9:20 PM + 1.5 hrs = 10:50 PM
--------------------------
Find he distance the car traveled
+d%5B1%5D+=+80t+
+d%5B1%5D+=+80%2A1.5+
+d%5B1%5D+=+120+
The car traveled 120 km
check:
+d%5B2%5D+=+60t+
+d%5B2%5D+=+60%2A1.5+
+d%5B2%5D+=+90+
The bus traveled 90 km
----------------------
+d%5B1%5D+%2B+d%5B2%5D+=+120+%2B+90+
+d%5B1%5D+%2B+d%5B2%5D+=+210+ km
OK