Kathleen and Antonio hung out at the mall on Saturday

Kathleen and Antonio hung out at the mall on Saturday. They spent 1 hour and 15 minutes shopping for clothes and 1 hour and 30 minutes at the food court. Then they spent 2 hours at the video arcade before heading home. If it was 11:00 A.M. when Kathleen and Antonio started shopping for clothes, what time was it when they left the mall?

The Correct Answer and Explanation is :

To determine what time Kathleen and Antonio left the mall, we need to add up all the time they spent at various activities and then add that total to the time they started their day.

Step 1: Calculate Total Time Spent

1. Shopping for clothes: 1 hour and 15 minutes
2. At the food court: 1 hour and 30 minutes
3. At the video arcade: 2 hours

Step 2: Convert Each Activity to Minutes

• Shopping for clothes:
  (1 \text{ hour} = 60 \text{ minutes} )
  (15 \text{ minutes} = 15 \text{ minutes} )
  Total: (60 + 15 = 75 \text{ minutes})
• At the food court:
  (1 \text{ hour} = 60 \text{ minutes} )
  (30 \text{ minutes} = 30 \text{ minutes} )
  Total: (60 + 30 = 90 \text{ minutes})
• At the video arcade:
  (2 \text{ hours} = 120 \text{ minutes} )
  Total: (120 \text{ minutes})

Step 3: Add All the Times Together

Now we add all the minutes together:

[
75 \text{ (shopping)} + 90 \text{ (food court)} + 120 \text{ (arcade)} = 285 \text{ minutes}
]

Step 4: Convert Minutes to Hours and Minutes

To convert 285 minutes into hours and minutes:

• Divide by 60 to find the number of hours:
  [
  285 \div 60 = 4 \text{ hours} \quad \text{(with a remainder)}
  ]
  Remainder:
  [
  285 – (4 \times 60) = 45 \text{ minutes}
  ]

Thus, they spent a total of 4 hours and 45 minutes at the mall.

Step 5: Calculate the End Time

They started shopping at 11:00 A.M.:

1. Add 4 hours:

• (11:00 \text{ A.M.} + 4 \text{ hours} = 3:00 \text{ P.M.})

1. Add 45 minutes:

• (3:00 \text{ P.M.} + 45 \text{ minutes} = 3:45 \text{ P.M.})

Therefore, Kathleen and Antonio left the mall at 3:45 P.M.

This calculation shows the importance of carefully adding time segments and converting them appropriately to reach the final answer. By breaking down the activities into manageable parts, it becomes easier to see how time accumulates during outings.