Question 147179
Trains a and b are traveling in the same direction on parallel tracks. Train a is traveling at 60mph and train b is traveling at 70mph. train a passes the station at 12:10p.m. If train b passes the same station at 12:22p.m., at what time will train b catch up to train a. 
:
When train a is at the station, train b is 12 min from the station
Therefore: 70 * {{{12/60}}} = 14 mi is the dist b is from the station, (& 14 mi behind train a)
:
Their relative speed is 70 - 60 = 10 mph
:
How long will it take to cover 14 mi at 10 mph? Time = dist/speed
time = {{{14/10}}} = 1.4 hrs; which is 1 hr + .4(60) = 1 hr 24 min
:
Train b catches up with a: 12:10 pm + 1:24 = 1:34 pm