MATHS PROBLEM HELP PLEASE

Question

the railroad track between town a and town b is 500 miles long the blue train is scheduled to leave town a for town b at 2 pm. The red train is scheduled to leave town b for town a at 3 pm , but it's delayed 95 minutes due to a engine problem if the blue train travels at 35 mph and the red train travels at 50 mph when will they meet ?

Answer 1

When they meet the red train will have been travelling for 2 hrs and 35 minutes less than the blue train.

If B is the time traveled by the blue train and, the the time traveled by the red train is B - (155/60)

$35B-(B-\frac{155}{60})50=500$

(Note 35B is the distance traveled by the blue train & the other term is the distance traveled by the red train)

$85B=500+155\ast \frac{5}{6}$

510B = 3000 + 775 = 3775

B = 7.401961; the red train's time is 4.818628

The blue train will ravel 259 miles the red train 259 miles