Question

On the first day, Maria and Emily make flowers together for 1 hour and 25 minutes. In the time it takes Emily to make 2 paper flowers, Maria makes 3 paper flowers. When they stop for the day, together they have made 45 paper flowers. On the second day, Maria and Emily both start at 1:15 P.M. and make paper flowers together at the same rates as the day before. They both work until there is a total of 100 flowers, including the flowers from the first day. At what time do Maria and Emily stop working on the second day?

Answer 1

On the second day, Maria and Emily stop working at approximately 10:15 AM.

Step-by-step explanation:

On the first day, Maria and Emily made 45 paper flowers in a total of 1 hour and 25 minutes. In the same time, Emily made 2 paper flowers and Maria made 3 paper flowers. Let's find out how many minutes each flower takes to make.

We know that Emily made 2 paper flowers in 85 minutes, so each flower takes 85 minutes / 2 flowers = 42.5 minutes.

Similarly, Maria made 3 paper flowers in 85 minutes, so each flower takes 85 minutes / 3 flowers = 28.33 minutes.

To find out how long it takes them to make 100 flowers on the second day, we can calculate the total time for each person to make 100 flowers using the rates we found.

Emily: 100 flowers * 42.5 minutes per flower = 4250 minutes

Maria: 100 flowers * 28.33 minutes per flower = 2833 minutes

Now let's add the times for Emily and Maria to find out the total time it takes them to make 100 flowers together.

Total time = 4250 minutes + 2833 minutes = 7083 minutes

If they both start at 1:15 PM, we need to add 7083 minutes to 1:15 PM to find out what time they will stop working.

Adding 7083 minutes to 1:15 PM:

1. 15 minutes + 7083 minutes = 7098 minutes
2. 7098 minutes = 7098 minutes / 60 minutes (1 hour) = 118 hours and 18 minutes
3. 118 hours = 118 hours / 24 hours (1 day) = 4 days and 22 hours

So, Maria and Emily will stop working on the second day at 4 days and 22 hours after 1:15 PM, which is approximately 10:15 AM.

Answer 2

okay, this is a proportion question. they make 45 flowers every 1 hour and 25 minutes, or 45/85(85 is equivalent to 1 hour and 25 minutes). and they made 100 flowers at the same rate as the first day. so you need to know how long it took them to make 100 flowers, if they make 45 every 85 minutes. so 45 (flowers) to 85 (minutes) = 100 (flowers) to x (minutes). or 45/85=100/x. so when you work that out, I came to 189 minutes, which is 3 hours and 9 minutes, so they stopped at 4:24. But you could round and get 4:25. Hope I didn't confuse you!