Question

Clare follows the same workout cycle each time she goes to the gym. First, she runs for

1
3
of an hour. Then, she lifts weights for
1
6
of an hour. If Clare has 1
1
2
hours to spend at the gym, how many times can she go through her workout cycle?
Write your answer as a whole number, fraction, or mixed number. Simplify any fractions.

Answer 1

3 times.

Explanation:

She has 1 1/2 hour to spend in the gym.

1 hr = 60 minutes.
1/2 of an hour= 1/2 * 60= 30 minutes.

In total, she spends 90 minutes in the gym.

If 1/3 of an hour is meant in running, it translates into: 1/3 * 60 = 20 minutes.

If 1/6 of an hour is spent in weight-lifting, it translates into: 1/6 * 60 = 10 minutes.

In total, she spends, 20 minutes + 10 minutes = 30 minutes for both activities.

To obtain the number of times she would perform both activities, we divide the total amount of time spent in the gym by the amount of time spent for both activities.

90 minutes/30 minutes= 3 times for each cycle.