Rosy has been jogging for 3 weeks. In the first week She jogged 3 days each for 4/6 of an hour. During week 2 she jogged for 3/4 of an hour on 2 days. In week 3 she jogged 4 days each for 3/5 of an hour . WRITE one expression that would show the total time she spent jogging in 3 weeks , solve

3 * (4/6) + 2 * (3/4) + 4 * (3/5)

= 2 + 3/2 + 12/5

= 20/10 + 15/10 + 24/10

59/10 = 5.9 hours = 5 hours 54 minutes

To find the total time Rosy spent jogging in 3 weeks, we need to add up the time she spent jogging each week.

In week 1, she jogged 3 days, each for 4/6 of an hour. So, the total time spent in week 1 is:

3 days * (4/6 hour/day) = 12/6 = 2 hours

In week 2, she jogged for 3/4 of an hour on 2 days. So, the total time spent in week 2 is:

2 days * (3/4 hour/day) = 6/4 = 1.5 hours

In week 3, she jogged 4 days, each for 3/5 of an hour. So, the total time spent in week 3 is:

4 days * (3/5 hour/day) = 12/5 = 2.4 hours

To calculate the total time spent jogging in 3 weeks, we need to add up the time from each week:

2 hours (week 1) + 1.5 hours (week 2) + 2.4 hours (week 3) = 5.9 hours

So, the expression that shows the total time Rosy spent jogging in 3 weeks is:

2 + 3/5 + 1.5 = 5.9 hours