On the average, 40 people arrive at a fitness center per hour. Of all the users

Question

On the average, 40 people arrive at a fitness center per hour. Of all the users of the fitness center, 20% do only a full body workout and the remaining 80% only do cardio exercises. People who do a full body workout spend 75 minutes at the fitness center and those who do only cardio exercises spend 60 minutes at the fitness center on the average.

NOTE: SHOW ALL YOUR WORK. USE 4 DECIMAL PLACES IN ALL CALCULATIONS.

a) (2 points) What is the average number of people working out at the fitness center at any point in time doing a full body workout?

b) (2 points) What is the average number of people working out at the fitness center at any point in time doing cardio exercises?

c) (2 points) Suppose everyone at the fitness center uses a locker. How many lockers are used on the average at any point in time?

Explanation / Answer

Answer:

a. Average number of people working out at the fitness center at any point in time doing a full body workout = 20% of 40 x 1.25 = 10 people (since full work out needs 1.25 hours)

b. Average number of people working out at the fitness center at any point in time doing cardio exercise = 80% of 40 = 32 people

c. Average number of lockers that are used at any point in time = 10 + 32 = 42 lockers.

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