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If 75 words are typed in 3 minutes by a typist, how many words will be typed in 4 hours?
5000
6000
7500
9000
6000
Calculate words per minute (75/3 = 25) and multiply by total minutes in 4 hours (240). Quick math: 25├Ч240=25├Ч4├Ч60=100├Ч60=6000.
A typist types 75 words in 3 minutes. The total time available is 4 hours.
Total┬аWords=(Time┬аin┬аminutesWordsтАЛ)├ЧTotal┬аTime┬аin┬аminutes
Calculate words per minute (75/3 = 25) and multiply by total minutes in 4 hours (240). Quick math: 25├Ч240=25├Ч4├Ч60=100├Ч60=6000.
Many students forget to convert hours to minutes and directly multiply 75 words by 4 hours, ignoring the time unit mismatch.
Calculate rate per minute
Determine how many words the typist types in one minute by dividing total words by time in minutes.
R=375тАЛ=25┬аwords/minute
Convert total time to minutes
Since the rate is in minutes, convert 4 hours into minutes by multiplying by 60.
T=4├Ч60=240┬аminutes
Calculate total output
Multiply the rate by the total time in minutes to find the total words typed.
W=25├Ч240=6000
B is correct because calculating the rate as 25 words per minute and multiplying by 240 minutes yields a total of 6000 words.
This concept of rates is foundational for solving pipes and cisterns problems or speed-distance-time problems where unit consistency is mandatory.
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