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My normal typing speed is 40 words per minute - OCR - GCSE Maths - Question 19 - 2021 - Paper 3
Question 19
My normal typing speed is 40 words per minute. Therefore, I estimate that my normal typing speed is about 210 characters per minute. Each letter, space and piece of ... show full transcript
Worked Solution & Example Answer:My normal typing speed is 40 words per minute - OCR - GCSE Maths - Question 19 - 2021 - Paper 3
Step 1
How many letters per word is Amit most likely to have used in making the estimate?
Answer
To find the number of letters per word, we can start by calculating how many characters Amit estimates he types in a minute.
Given:
- Typing speed = 40 words per minute
- Estimated characters per minute = 210 characters
We can use the formula:
ext{Average letters per word} = rac{ ext{Total characters per minute}}{ ext{Words per minute}}Substituting the values:
ext{Average letters per word} = rac{210}{40} = 5.25Thus, Amit is likely estimating an average of about 5 letters per word.
Step 2
What may be true about the length of the words that Amit has just typed?
Answer
To analyze the length of the words that Amit has typed:
Amit types 52 words in 1 minute and 12 seconds, which can be converted to seconds:
1 minute = 60 seconds, Thus, 1 minute 12 seconds = 60 + 12 = 72 seconds.
To find the typing speed in words per second:
ext{Words per second} = rac{ ext{Total words}}{ ext{Total time in seconds}} = rac{52}{72} = rac{13}{18} ext{ words per second} \\ ext{(approximately } 0.72 ext{ words per second)}At the rate of 40 words per minute (or approximately 0.67 words per second), it is likely that Amit’s typing speed is consistent with his normal typing speed. Therefore, the average length of the words Amit has just typed could be assumed to be similar or slightly shorter than the previously estimated average of 5 letters.