Question

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?

Answer 1

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