SOLUTION: Train a leaves a station traveling at 96 kilometers per hour. 4 hours later train b leaves the same station traveling in the same direction at 107 kilometers per hour. How long doe

Question 311141: Train a leaves a station traveling at 96 kilometers per hour. 4 hours later train b leaves the same station traveling in the same direction at 107 kilometers per hour. How long does it take train b to cath up to train a?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Train a leaves a station traveling at 96 kilometers per hour.
4 hours later train b leaves the same station traveling in the same direction at 107 kilometers per hour.
How long does it take train b to catch up to train a?
:
let t = time for b to catch a
then
(t+4) = travel time of train a, when it's caught
:
When b catch a, they will have traveled the same distance
write a distance equation: dist = speed * time
:
107t = 96(t+4)
107t = 96t + 384
107t - 96t = 384
11t = 384
t =
t = 34.91 hrs for b to catch a
;
:
Check solution by finding the distance for each
107*34.91 = 3735.37 km
96*38.91 = 3735.36 km, close enough
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