Question

Zoe and Maria plan to hike at a rate of 3 miles per hour and canoe at a rate of 6 miles per hour. They want to travel no more than 8 hours and cover at least 40 miles in one day. Which system of inequalities models the situation?

Answer 1

h + c ≤ 8

3h + 6c ≥ 40

where h is the number of hiking hours

c is the number of canoeing hours

Explanation:

Here, we want to write a system of inequalities;

Let number of hiking hours be h and the number of canoeing hours be c

h + c ≤ 8

Covering at least 40 miles;

Recall;

distance = speed * time

for 3 miles, h hours, we have 3h miles

for 6 miles , c hours , we have 6c

At least 40 miles, inequality will be ;

3h + 6c ≥ 40