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 115 miles per hour. how long will it take two trains to be 462 miles apart?

Remark

They are travelling in opposite directions. Their distances will be added until that distance = 462 miles.

You need only add the r*t values together. You do not need to find the distance.

Givens

d = 462 miles

r1 = 115 mph

r2 = 95 mph

t = the time each was traveling.

Formula

r1 * t + r2*t = d

Substitute and solve

95 * t + 115 * t = 462 Add the like terms on the left.

210 * t = 462 Divide by 210

t = 462 / 210

t = 2.2 hours.

t = 2 1/5 hours

t = 2 hours and 12 minutes

All three answers are the same.