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?

Question

welshfella · Answer

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

mgriffin16 · Answer

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

welshfella · Answer

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

welshfella · Answer

Do you follow the  reasoning?