### Brain Teasers

# Tracking Time

Ramik was asked how he spends his time during the week, starting from the time he gets home from school at 3:00 P.M., until he goes to bed at 10:00 P.M. He listed his weekly after-school activities as:

1. homework, studying, or reading

2. spending time with friends

3. eating

4. chores

5. music lessons

6. soccer

He observed that:

1. He spends 50% of his time doing homework, studying, or reading.

2. He spends 1/3 as much time doing chores as he does eating.

3. The amount of time he spends on music lessons equals 50% of the time he devotes to soccer each week.

4. Soccer practices are scheduled twice a week for 2 1/2 hours each time.

5. Each week, the amount of time he spends eating and doing chores combined equals the amount of time he spends on soccer.

6. The rest of his free time is spent with friends.

On average, how much time daily, in hours and minutes, does Ramik spend on each activity?

For next week, if he reduces the amount of time he spends with friends by 50%, will he have enough time to fit in another soccer practice without taking any time from any other activities?

1. homework, studying, or reading

2. spending time with friends

3. eating

4. chores

5. music lessons

6. soccer

He observed that:

1. He spends 50% of his time doing homework, studying, or reading.

2. He spends 1/3 as much time doing chores as he does eating.

3. The amount of time he spends on music lessons equals 50% of the time he devotes to soccer each week.

4. Soccer practices are scheduled twice a week for 2 1/2 hours each time.

5. Each week, the amount of time he spends eating and doing chores combined equals the amount of time he spends on soccer.

6. The rest of his free time is spent with friends.

On average, how much time daily, in hours and minutes, does Ramik spend on each activity?

For next week, if he reduces the amount of time he spends with friends by 50%, will he have enough time to fit in another soccer practice without taking any time from any other activities?

### Answer

On average, Ramik spends the following amount of time, daily, on each of these activities:1. homework, studying, or reading: 3 hours, 30 minutes

2. free time with friends: 1 hour

3. eating: 45 minutes

4. chores: 15 minutes

5. music lessons: 30 minutes

6. soccer: 1 hour

If Ramik reduces the amount of time he spends with friends by 50% next week, he will have just enough time (2 1/2 hours) for an additional soccer practice.

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