Question

Martha is training for a duathlon, which includes biking and running. She knows that yesterday she covered a total distance of over 55.5 miles in more than than 4.5 hours of training. Martha runs at a speed of 6 mph and bikes at a rate of 15.5 mph.

Answer 1

Distance: 6x + 15.5y > 55.5

Time: x + y > 4.5

Explanation:

We are given that Martha is training for a duathlon and she covered a total distance of over 55.5 miles in more than than 4.5 hours of training.

Also, she runs at a speed of 6 mph and bikes at a rate of 15.5 mph.

We are to write inequalities representing the distance she traveled and the total time she spent training.

Distance: 6x + 15.5y > 55.5

(formula for distance = speed x time so speeds for running and biking are multiplied by their number of hours)

Time: x + y > 4.5

(she trained for more than 4.5 hours, x hours for running and y hours for biking.