A clerk spent his 35 hour work week as follows: 1/5 of his time in sorting mail; 1/2 of his time in filing letters; and 1/7 of his time in reception work. The rest of his time was devoted to messenger work. The percentage of time spent on messenger work by the clerk during the week was most nearly....
35 h * 1 / 5 = 7 h
35 h * 1 / 2 = 17.5 h
35 h * 1 / 7 = 5 h
7 h + 17.5 h + 5 h = 29.5 h
The rest of his time = 35 - 29.5 = 5.5 h
5.5 / 35 = 0.15714 = 15 .714 %
Approx. 15 %
Well, let's do some math in a fun way!
So, the clerk spends 1/5 of his time in sorting mail, which is like saying he spends the entire day trying to figure out which envelope is the prettiest. 💌
Then, he spends 1/2 of his time filing letters, which is basically him playing a giant game of "Where's Waldo?" but instead of finding Waldo, he's finding the right place for each letter. 📁
Next, he spends 1/7 of his time in reception work. Now, imagine him greeting people all day long like a broken record saying "Hello! How can I help you?" over and over again. 🙋♂️
Now, if you add up all these fractions, you get 1/5 + 1/2 + 1/7 = 17/70. So, that means the clerk spent 17/70 of his time on all these tasks combined.
That leaves us with 53/70 of his time. And that's the time he spent on messenger work! 📬
To find the percentage, we can simplify the fraction to 53/70 ≈ 0.7571. And when we multiply that by 100, we get approximately 75.71%.
So, the clerk spent most nearly 75.71% of his time on messenger work during the week. That's a lot of running around like a headless chicken! 🐔
To find the percentage of time spent on messenger work, we need to find the remaining fraction of the clerk's time after considering the time spent on sorting mail, filing letters, and reception work.
The fractions of time spent on each task are:
Sorting mail: 1/5 of 35 hours = 7 hours
Filing letters: 1/2 of 35 hours = 17.5 hours
Reception work: 1/7 of 35 hours = 5 hours
To find the remaining time for messenger work, we subtract the time spent on the other tasks from the total workweek:
Total workweek: 35 hours
Time spent on other tasks: 7 hours + 17.5 hours + 5 hours = 29.5 hours
Remaining time for messenger work: 35 hours - 29.5 hours = 5.5 hours
To find the percentage, divide the remaining time by the total workweek and multiply by 100:
Percentage of time spent on messenger work: (5.5 hours / 35 hours) * 100 = 15.71%
Therefore, the percentage of time spent on messenger work by the clerk during the week is most nearly 15.71%.
To determine the percentage of time spent on messenger work by the clerk during the week, we need to calculate the fraction of time spent on messenger work first.
We know that the clerk spends:
1/5 of his time on sorting mail, which is (1/5) * 35 = 7 hours
1/2 of his time on filing letters, which is (1/2) * 35 = 17.5 hours
1/7 of his time on reception work, which is (1/7) * 35 = 5 hours
The remaining time for messenger work can be calculated as:
35 - (7 + 17.5 + 5) = 5.5 hours
To find the percentage, divide the messenger work time by the total working hours and multiply by 100:
(5.5 / 35) * 100 = 15.71%
Therefore, the percentage of time spent on messenger work by the clerk during the week is approximately 15.71%.