How long will it take for the two trains to meet?

Question

two trains leave stations 360 miles apart at the same time and travel toward each other. One train travels 80 mph while the other one travels at 70 mph. How long will it take for the two trains to meet?

Answer 1

2.4 hours or 2 hours and 24 minutes

distance = speed times time traveled

d=st where t is the same for both,

d=360 = 80t +70t =150t =360 t=360/150 = 36/15 = 12/5 = 2.4 hours

2.4 hours = 2 hours plus 0.4 x 60 minutes = 24 minutes

Total time when the trains meet is 2 hours and 24 minutes

in 2.4 hours the 80mph train travels 2.4 x 80 = 192 miles

while the 2nd train travels 2.4 x 70 = 168 miles

Together they traveled 192 + 168 = 360 miles