Question

A robot can complete 8 tasks in 3/4 hour. Each task takes the same amount of time. How long does it take the robot to complete one task?

a) 1/8 hour
b) 3/8 hour
c) 3 hours
d) 2 hours

Answer 1

The robot takes 45/16 minutes to complete one task.

Step-by-step explanation:

To find how long it takes the robot to complete one task, we need to divide the total time by the number of tasks. In this case, the robot completes 8 tasks in 3/4 hour. So, to find the time for one task, we divide 3/4 by 8.

Dividing fractions involves multiplying the numerator of the first fraction by the denominator of the second fraction and vice versa. Therefore, 3/4 divided by 8 is (3/4) * (1/8) = 3/32.

So, the robot takes 3/32 of an hour to complete one task, which can be simplified to 3/32 * 60 = 90/32 = 45/16 minutes. Therefore, the robot takes 45/16 minutes to complete one task.