word problem help

Question

a train leaves perryville at 6:00am and travels east at a rate of 64mi/hr to granite city. as it reaches its destination, a westbound train departs from granite city , traveling at a rate of 48/hr, to arrive in perryville at 9:30 am. how far is it from perryville to granite city by train.

Answer 1

Let x = time of day when eastbound train reaches granite city and when westbound train departs granite city

(x-6)64 = (9.5-x)48 = distance from perryville to granite city

64x - 384 = -48x + 456

112x = 456+384 = 840

x = 840/112 = 7.5

7.5-6 = 1.5 x 64 =96 miles

9.5-7.5 = 2 x 48 = 96 miles

from perryville to granite city by train