Question

How do you solve this? In a canoe race, Team A is traveling 6 miles per hour and is 2 miles ahead of Team B. Team B is also traveling 6 miles per hour. The teams continue traveling at their current rates for the remainder of the race. Using

d
d
for distance (in miles) and
t
t
for time (in hours), write a system of linear equations that represents this situation.

Equation for Team A:


Equation for Team B:



Question 2
Will Team B catch up to Team A?

Answer 1

Answer: 1. Equation are,

d(t)= 6 t+2 is the equation for team A

and, d(t) = 6 t is the equation for team B

2. No , team B will not catch up to team A.

Explanation:

Here, Team A is traveling 6 miles per hour and is 2 miles ahead of Team B.

x represents the number of hours

Then the total distance covered by A in t hours,

d(t)=6 t+ 2

And, Team B is also traveling 6 miles per hour.

Therefore, the total distance covered by B in t hours is,

d(t)= 6 t

Since, the speed of both teams are equal and already team A is 2 miles ahead of team B.

Therefore, for catching up to team A team B must be increase its speed.

Otherwise, It can not catch up team A.