Ragini studies8/3 hrs every day and plays 2/3hrs every day. How many hours does Ragini spend studying and playing over the 3 period of 6 days?

a. 4 hrs

Ob. 16 hrs

c. 12 hrs

O d. 20 hrs

To determine the total amount of time Ragini spends studying and playing over a period of 6 days, we need to calculate the daily total time spent on both activities and then multiply by the number of days. Here are the steps:

1. **Calculate the total time spent per day:**
   \[
   \text{Daily studying time} = \frac{8}{3} \text{ hours}
   \]
   \[
   \text{Daily playing time} = \frac{2}{3} \text{ hours}
   \]
   \[
   \text{Total daily time} = \frac{8}{3} + \frac{2}{3} = \frac{10}{3} \text{ hours}
   \]

2. **Calculate the total time over 6 days:**
   \[
   \text{Total time for 6 days} = \frac{10}{3} \times 6 = \frac{60}{3} = 20 \text{ hours}
   \]

Therefore, Ragini spends a total of 20 hours studying and playing over the period of 6 days.

The correct answer is:
d. 20 hrs

Would you like more details or have any questions?

Here are some other questions you might find interesting:
1. How many hours does Ragini spend studying alone over 6 days?
2. How many hours does Ragini spend playing alone over 6 days?
3. If Ragini increased her daily playing time to 1 hour, how many hours would she spend playing over 6 days?
4. What is the total time Ragini would spend studying and playing over a week (7 days)?
5. If Ragini reduced her study time by \(\frac{1}{3}\) hour daily, what would be her new total study time over 6 days?

**Tip:** When adding fractions, make sure the denominators are the same before summing the numerators.

Find out how many hours Ragini spends studying and playing over a period of 6 days with detailed step-by-step calculations. This problem involves fractions, addition, and multiplication concepts, suitable for Grades 5-6 students.

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