Question

Two trains leave the station at the same time, one heading west and the other east. The westbound train travels at 95 miles per hour. The eastbound train travels at 85 miles per hour. How long will it take for the two trains to be 468 miles apart?

Answer 1

Step-by-step explanation:

x = traveled hours

when multiplying miles/hour by hours, this gives

hours × miles / hours

so, the dimension hours is eliminated on top and bottom of that fraction (or ratio) leaving only miles.

therefore,

468 = 95x + 85x = 180x

x = 468/180 = 2.6 hours or 2 6/10 hours = 2 hours and 6×6 minutes = 2 hours and 36 minutes

remember,

1 hour = 60 minutes

1/10 hour = 60/10 = 6 minutes