Question

Jacob spends 60 minutes in the gym every day doing freehand exercises and running on the treadmill. He runs on the treadmill for 30 minutes longer than he does freehand exercises.
Part A: Write a pair of linear equations to show the relationship between the number of minutes Jacob does freehand exercises (y) and the number of minutes he runs on the treadmill (x). (5 points)

Part B: How much time does Jacob spend doing freehand exercises? Show your work. (3 points)

Part C: Is it possible for Jacob to have spent 40 minutes running on the treadmill if he spends exactly 60 minutes total at the gym and runs on the treadmill for 30 minutes longer than he does freehand exercises? Explain your reasoning. (2 points)

Answer 1

The solution to the questions a,b, and c are give below as

a)

x + y = 60

x = y + 30

b and c)

Jacob's workout consists of 45 minutes spent running on the treadmill and 15 minutes spent doing free-hand exercises.

This is further explained below.

What is the pair of linear equations?

Generally,  Jacob's workout consists of 45 minutes spent running on the treadmill and 15 minutes spent doing free-hand exercises. Equation

An expression that is used to demonstrate the connection between two or more numbers and variables is called an equation.

In conclusion, Let's say that x stands for the total number of minutes. Jacob works out by running on a treadmill, and the number y denotes the amount of time he spends on free-hand exercises.

Because he invests an hour and a half, therefore:

a)

x + y = 60 (1)

Also:

x = y + 30 (2)

B and C)

Based on equations 1 and 2, we have:

x = 45, y = 15

Jacob's workout consists of 45 minutes spent running on the treadmill and 15 minutes spent doing free-hand exercises.

Read more about  linear equations

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