it takes sarah traveling at 60mph, 15 minutes longer to go a certain distance than it takes evelyn traveling at 78 mph. what is the distance traveled

Question

it takes sarah traveling at 60mph, 15 minutes longer to go a certain distance than it takes evelyn traveling at 78 mph. what is the distance traveled

Answer 1

The distance traveled by Sarah equals the distance traveled by Evelyn, i.e.

60[x+(1/4)] = 78x where x is the time Evelyn traveled.

Remember 15 min = (1/4) hr and the rates are given in mph.

Once you solve the equation for x, then 78x is the distance traveled.

Can't solve the equation? OK.

Expand the left side: 60x + 15 = 78x

18x=15

You solve it from here.

P.S.

I guess you wouldn't mind if I wrote my answer as sloppily as you wrote your question!