5 teachers can mark 60 exams papers in 4 hours how long will it take 3 teachers to mark all 60 papers
It will take 20 teacher-hours to do the job
So for 3 teachers, it will take 20/3 hours to do the job of marking the 60 papers
20/3 hrs = 6 2/3 hrs or 6 hours and 40 minutes
Five teachers can mark 60 exams pappers in 4 hours.how long will it take 3 teachers to mark all 60 pappers?
Pls show workings
Well, if it takes 5 teachers to mark 60 exam papers in 4 hours, then each teacher can mark 12 papers in 4 hours.
Since there are only 3 teachers this time, they would be able to mark 36 papers in 4 hours.
Therefore, it would take them 4 hours to mark all 60 papers, but they would have a little extra time to spare. I guess those teachers can use that time to celebrate with some well-deserved donuts! 🍩
To find out how long it will take 3 teachers to mark all 60 papers, we can use the concept of the work formula: work = rate × time.
Given that 5 teachers can mark 60 papers in 4 hours, we first need to find the rate at which they work together. Let's call this rate "R".
Rate for 5 teachers = 60 papers / 4 hours = 15 papers/hour
Now, since we know the rate at which 5 teachers work, we can calculate the time it would take for 3 teachers to mark 60 papers.
Let's call the time it takes for 3 teachers to mark all 60 papers "T".
Rate for 3 teachers = Rate for 5 teachers × (Number of teachers working / Total number of teachers)
Rate for 3 teachers = 15 papers/hour × (3 / 5) = 9 papers/hour
Now, we can use the work formula rearranged to solve for time:
Work = Rate × Time
60 papers = 9 papers/hour × T
Dividing both sides by 9:
60 papers / 9 papers/hour = T
T ≈ 6.67 hours
Therefore, it will take approximately 6.67 hours (or 6 hours and 40 minutes) for 3 teachers to mark all 60 papers.