To calculate:The minimum amount of time one should spend swimming the breaststroke.

Answer to Problem 33E
The answer is 10 minutes. One should spend minimum 10 minutes swimming breaststroke to burn at least 300 calories.
Explanation of Solution
Given information:The minimum number of calories that one wants to burn is given
The number of calories one burns per minute of swimming breaststroke is given
The number of calories one burns per minute of swimming backstroke is given
The maximum time is given = 30 minutes.
Formula used:The concept of solving multi-step inequalities is to be used.
Calculation:
Let
Let
We know that on swimming 1 minute breaststroke, one burns 12 calories. Similarly, on swimming 1 minute backstroke, one burns 9 calories.
So the total number of calories burnt are,
The minimum calories that must be burnt is 300.
The maximum time is 30 minutes.
Solve Equations (1) and (2),
Multiply Equation (2) with 9,
Subtract Equation (3) from Equation (1)
Thus, the minimum minutes one has to swim in breaststroke to burn minimum 300 calories is 10 minutes.
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