Question

Harold left town driving east at 55 mph. Carol left 2 hours later driving the same route at 65 mph. How many hours after Harold left will it take Carol to catch up to Harold?

Answer 1

Hint: they will have both travelled the same distance when Carol catches up with Harold.
Use the formula V = d / t
(speed = distance / time)

Answer 2

so would i do 65x120(since that is two hours) and then divide by 55?

Answer 3

let t = time after harold left when carol caught up
then t - 2 is the time that carol took to catch him up

they both travelled a distance of d miles

for Carol 65 = d / (t-2) so d = 65(t - 2)
for harold: 55 = d / t so d = 55t

therfore
55t = 65(t - 2)

solve this for t and you have your answer

Answer 4

Do you follow the reasoning?