Question

(Note that most of the answers are algebraic expressions involving t) A car starts on a trip and travels at a speed of 55 mph. Two hours later, a second later starts on the same trip and travels at a speed of 55 mph. When the second car has been on the road trip for t hours, the first car has traveled _____ miles and the second car has traveled ______ miles.

Answer 1

Let t represent the time that the second car has been on the road. If it started 2 hours after the first car started, it means that the time that the first car has been on the road is

(t + 2) hours

Recall,

Distance = speed x time

From the information given,

speed of first car = 55

Thus,

distance travelled by first car = 55(t + 2)

speed of second car = 65

Distance travelled by second = 65t

Thus,

The first car has traveled 55(t + 2) miles and the second car has traveled 65t miles