A train travels a distance of 90 miles from A to B in one hour. Another train sets off at the same time and travels from B to A, taking two hours to complete the journey. How many miles from A did the two trains cross?

Answer 1

When they meet, they will have traveled for the same time.
Let that time be t hrs.

let the distance covered by the fast train be x miles, then distance covered by the slower train is 90-x

time for faster train = x/90
time for slower train = (90-x)/45

x/90 = (90-x)/45
45x = 8100- 90x
135x = 8100
x = 60

check:
time taken to go 60 miles for fast train = 60/90 = 2/3 hr
time taken for slower train to go 30 miles = 30/45= 2/3