Question 1145488
r*t=d
r = rate
t = time
d = distance


for the first train, the formula becomes 75 * t = d
for the second train, the formula becomes 125 * (t-2) = d


the second train will overtake the first train after they both have traveled the same distance.


since both equal to d, then both equal to each other and you get:
75 * t = 125 * (t-2)
simplify to get 75 * t = 125 * t - 250
subtract 75 * t from both sides and add 250 to both sides to get:
250 = 125 * t - 75 * t
combine like terms to get 250 = 50 * t
solve for t to get t= 5


the second train will overtake the first train after they have both traveled for 5 hours.


75 * 5 = 375
125 * 3 = 375


at exactly 5 hours, both trains will be neck and neck.
after 5 hours, the second train will have traveled a greater distance than the first train.