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Typist A can type a sheet in 5 minutes, ...

Typist A can type a sheet in 5 minutes, typist B in 6 minutes and typist C in 8 minutes. The average number of sheets typed per hour per typist is ……. sheets.

A

8.83

B

7.83

C

7

D

None

Text Solution

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The correct Answer is:
To find the average number of sheets typed per hour per typist, we will follow these steps: ### Step 1: Calculate the number of sheets typed by each typist in one hour. - **Typist A**: Can type a sheet in 5 minutes. - In 60 minutes (1 hour), the number of sheets typed by A = 60 minutes / 5 minutes per sheet = 12 sheets. - **Typist B**: Can type a sheet in 6 minutes. - In 60 minutes, the number of sheets typed by B = 60 minutes / 6 minutes per sheet = 10 sheets. - **Typist C**: Can type a sheet in 8 minutes. - In 60 minutes, the number of sheets typed by C = 60 minutes / 8 minutes per sheet = 7.5 sheets. ### Step 2: Calculate the total number of sheets typed by all typists in one hour. - Total sheets typed = Sheets by A + Sheets by B + Sheets by C - Total sheets = 12 + 10 + 7.5 = 29.5 sheets. ### Step 3: Calculate the average number of sheets typed per typist. - There are 3 typists, so the average number of sheets typed per typist = Total sheets / Number of typists - Average = 29.5 sheets / 3 typists = 9.833 sheets (approximately). ### Final Answer: The average number of sheets typed per hour per typist is approximately **9.83 sheets**. ---
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