Question

e Two trains leave the station at the same time, one heading west and the other east. The westbound train travels at 80 miles per hour. The eastbound train travels at 60 miles per hour. How long will it take for the two trains to be 336 miles apart?

Answer 1

The two trains would take 2.4 hours to be 336 miles apart

Solution:

Two trains leave the station at the same time, one heading west and the other east

So, they are moving in opposite direction

Speed of westbound train = 80 miles per hour

Speed of east bound train = 60 miles per hour

To find: time taken for two trains to be 336 miles apart

Distance between them = 336 miles

The speeds are added when going in opposite directions

Therefore,

speed = 80 + 60 = 140 miles per hour

Speed is given by formula:

$speed =\frac{disatnce}{time}$

Rearrange the formula to find time

$time = \frac{distance}{speed}\\\\time = \frac{336}{140}\\\\time = 2.4$

Thus the two trains would take 2.4 hours to be 336 miles apart