Two trains leave the station at the same time, one heading wes

Question

Two trains leave the station at the same time, one heading west and the other east. The westbound train travels
16
miles per hour slower than the eastbound train. If the two trains are
510
miles apart after
3
hours, what is the rate of the westbound train?

Answer 1

distance = rate x time

 

510 = (R + (R-16))*3

 

 

510 = (2R - 16)*3

 

170 = 2R - 16

 

186 = 2R

 

R = 93

 

The eastbound train travels 93 mph.

The westbound train travels 77 mph.

 

In 3 hours, the eastbound train travels 93x3 = 279 miles.

In 3 hours, the westbound train travels 77x3 = 231 miles.

 279 + 231 = 510 miles.