Math Problem Statement
Question content area top Part 1 A robot can complete 3 tasks in five sixths hour. Each task takes the same amount of time.
Solution
To find out how long it takes the robot to complete each task, we can follow these steps:
Step 1: Define the variables.
Let be the time (in hours) it takes the robot to complete one task.
The robot completes 3 tasks in of an hour.
Step 2: Set up the equation.
If the robot completes 3 tasks in hours, the time for one task is:
Step 3: Solve for .
To divide by 3, multiply by the reciprocal:
Thus, each task takes hours, or approximately 16.67 minutes.
Would you like more details on this or have any questions?
Here are 5 related questions:
- How long would it take the robot to complete 10 tasks at this rate?
- How many tasks can the robot complete in 1 hour?
- If the robot works for 2 hours, how many tasks will it complete?
- If the time per task decreases by half, how long would it take to complete 3 tasks?
- What if the robot had to complete 6 tasks in the same amount of time?
Tip: When dividing fractions, remember to multiply by the reciprocal of the divisor.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Fractions
Division
Formulas
Time per task = Total time / Number of tasks
Division of fractions
Theorems
Reciprocal rule for division of fractions
Suitable Grade Level
Grades 6-8
Related Recommendation
Robot Task Time Calculation with Fractions
Robot Task Time Calculation: Find Time per Task and Tasks per Hour
Calculate Time Per Task and Tasks Per Hour for a Robot Completing 77 Tasks
Task with Fractions and Proportions: Calculating Number of Parts Worked on in 5 Hours
How Many Class Sessions in an 8-Hour School Day with 2/3 Hour Classes?