Marcy and Angel live 95 miles away from the stadium. Marcy leaves at 4 PM and drives at 65 miles per hour. Angel leaves at 4:15 PM driving at 55 miles per hour. When Marcy arrives at the stadium, how long will she need to wait for Angel to arrive?

So they each need to cover 95 miles seperately

so find how long it took for marcy to cover the 95 miles

so 65 miles per hour

divide the miles covered by the miles per hour to get hours

95/65=19/13 hours=1 and 6/13 hours

leave it like that

angle drives at 55 miles per hour

so first calculate how far he drove in the same time then subtract the delay distance (I dislike nasty fractions)

55 times 19/13=1045/13 miles

he had a late start of 15 mins or 15/60 hour or 1/4 hour

1/4 times 55=55/4 miles

subtract

1045/13-55/4

convert bottom number to same

number should be 52

1045/13 times 4/4=4180/52

55/4 times 13/13=715/52

4180/52-715/52=3465/52 miles to go

so divide this miles by his miles per hour to get the time

(3465/52) / 55=63/52 hours=1.21 hours=1 and 21/100 hours or aprox

1 hour and 12.69 minutes