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If a printer prints 1 word in p seconds, then how many words can it print in ‘q’ seconds where ‘p’ and ‘q’ are positive real numbers?
  • a)
    p/60q
  • b)
    q/60p
  • c)
    p/q
  • d)
    q/p
  • e)
    pq
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
If a printer prints 1 word in p seconds, then how many words can it pr...
Solution:

Let us assume that the printer prints x words in q seconds.

Using unitary method, we can say that the printer will print 1 word in p seconds.

Therefore, the printer will print x words in q seconds, which means that the time taken to print x words is q seconds.

Hence, the time taken to print 1 word will be q/x seconds.

We know that the printer prints 1 word in p seconds.

Therefore, the printer will print q/x words in q/x × p seconds.

Simplifying the above expression, we get:

q/x × p = q × (1/x) × p

= q × p/x

= q/p × 1/x

= q/p × (1/60) × 60/x

= q/p × (1/60) × (60/x)

= q/p × (1/60) × p/1

= q/60p

Hence, the number of words that the printer can print in q seconds is q/60p.

Therefore, the correct answer is option D.
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Community Answer
If a printer prints 1 word in p seconds, then how many words can it pr...
Number of words per second = 1/p
Number of words in q seconds = 1/p * q = q/p
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If a printer prints 1 word in p seconds, then how many words can it print in ‘q’ seconds where ‘p’ and ‘q’ are positive real numbers?a)p/60qb)q/60pc)p/qd)q/pe)pqCorrect answer is option 'D'. Can you explain this answer?
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