SOLUTION: A runs at 07:00 a.m. With a speed of 10 km/hr.After 2 hrs,B runs with a speed of 20 km/hr, then find when they will meet together.

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: A runs at 07:00 a.m. With a speed of 10 km/hr.After 2 hrs,B runs with a speed of 20 km/hr, then find when they will meet together.      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 854666: A runs at 07:00 a.m. With a speed of 10 km/hr.After 2 hrs,B runs with a speed of 20 km/hr, then find when they will meet together.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
How far does A get in 2 hrs?
+d%5B1%5D+=+10%2A2+
+d%5B1%5D+=+20+ km
-----------------------
Start a stopwatch when B leaves
Let +t+ = time in hrs when they meet
Let +d+ = the distance in km that B runs
-------------------------------------------------
A's equation:
(1) +d+-+20+=+10t+
B's equation:
(2) +d+=+20t+
-------------------
Substitute (2) into (1)
(1) +20t+-+20+=+10t+
(1) +10t+=+20+
(1) +t+=+2+
They will meet 2 hrs after B leaves,
which is 7:00 + 2 hrs + 2 hrs = 11:00 AM
check:
(1) +d+-+20+=+10t+
(1) +d+-+20+=+10%2A2+
(1) +d+=+40+
and
(2) +d+=+20t+
(2) +d+=+20%2A2+
(2) +d+=+40+
OK