Question

Solve this problem.

At the end of each working day, highway police must report the total amount of time spent performing certain tasks. During one 8-hour shift, an officer spent 30 minutes aiding vehicles in distress, 1 3/4 hours at the scene of an accident, and 2 hours and 25 minutes writing tickets. How much time did the officer spend doing these tasks?


Select the correct answer.

a)4 1/2 hours
b)4 2/3 hours
c)4 1/3 hours
d)4 hours

Answer 1

The officer spent 4 2/3 hours doing these tasks.

Step-by-step explanation:

To find the total time the officer spent doing these tasks, we need to add the times together.

30 minutes + 1 3/4 hours + 2 hours and 25 minutes = 30 minutes + 1 3/4 hours + 2 hours 25 minutes

First, convert 1 3/4 hours to minutes. Since there are 60 minutes in an hour, 1 3/4 hours is equal to 1 * 60 + 3/4 * 60 = 60 minutes + 45 minutes = 105 minutes.

Now, add the minutes together: 30 minutes + 105 minutes + 145 minutes = 280 minutes.

Finally, convert 280 minutes back to hours: 280 minutes / 60 = 4 2/3 hours.

So, the officer spent 4 2/3 hours doing these tasks.

Answer 2

He was doing tasks for 4 hours and 30 minutes, so 4 1/2.