A clerk spent his 35 hour work week as follows 1/5 of his time in the Sorting mail 1/2 of its time in sorting letters and 1/7 of his time in reception work the rest of his time was devoted to messenger work that percentage of time spent on messenger work by the clerk during the week was most nearly
Not sure how "sorting mail" and "sorting letters" are different, but I'll guess that
1/5 + 1/2 + 1/7 = 59/70
so, 11/70 was spent on messenger work
or maybe 1/2 of the 1/5 was somehow involved. It's all kinda murky.
To find the percentage of time the clerk spent on messenger work, we first need to calculate the fractional time spent on messenger work.
Let's break down the time allocation given in the question:
- 1/5 of the time spent on sorting mail
- 1/2 of the time spent on sorting letters
- 1/7 of the time spent on reception work
To find the time spent on messenger work, we need to subtract the time spent on other activities from the total workweek time.
The fractional time spent on messenger work can be calculated as:
1 - (1/5 + 1/2 + 1/7)
To add the fractions, we need to find a common denominator, which in this case is 70. So we have:
(70 - 14 - 35 - 10) / 70
(70 - 49 - 14 - 10) / 70
(70 - 73) / 70
-3 / 70
Now, to find the percentage, we need to multiply by 100:
(-3 / 70) * 100
-0.042857 * 100
-4.2857%
Since time cannot be negative, we can conclude that the clerk did not spend any time on messenger work during the week. Therefore, the percentage of time spent on messenger work by the clerk during the week is most nearly 0%.