Problema Solution
suppose two trains leave a station at the same time, traveling in opposite directions. one train travels 20 mph faster than the other. in 2.5 hours, the trains are 255 miles apart. find the speed of each train
Answer provided by our tutors
let
v = the speed of the slower train
v + 20 = the speed of the faster train
t = 2.5 hr
d = 255 mi
since distance = speed*time we have:
v*t + (v + 20)*t = d
2.5v + (v + 20)*2.5 = 255
by solving we find:
v = 41 mph
click here to see the step by step solution of the equation:
v + 20 = 41 + 20 = 61 mph
the speed of the faster train is 61 mph while the speed of the slower train is 41 mph.