Problema Solution
Two trains leave the station traveling in opposite directions. One train is 8 miles per hour faster than the other and in 2.5 hours they are 230 miles apart. Determine the average speed of each train.
Answer provided by our tutors
let
v = the average speed of the slower train
v + 8 = the average speed of the faster train
t = 2.5 hr the time of the travel
since distance = speed*time and the trains travel in opposite direction we have:
vt + (v + 8)t = 230
v*2.5 + (v + 8)*2.5 = 230
by solving we find:
v = 42 mph
click here to see the step by step solution of the equation:
42 + 8 = 50 mph
the average speed of the slower train is 42 mph.
the average speed of the faster train is 50 mph.