Problema Solution
two high speed trains are 460 miles apart and traveling toward each other. They meet in 2 hours. If one train's speed is 10 miles per hour faster than the other, find the speed of each train.
Answer provided by our tutors
let
v = the speed of one train, v>0
v + 10 = the speed of the faster train
d = 460 mi the total distance between the trains
t = 2 hr the time of the travel
since speed = distance/time follows distance = speed*time:
vt + (v + 10)t = d
2v + 2(v + 10) = 260
by solving we find:
v = 60 mph
click here to see the step by step solution of the equation:
v + 10 = 60 + 10 = 70 mph
the speed of one train is 60 mph and the speed of the other train is 70 mph.