Aspire Faculty ID #16458 · Topic: NIMCET 2009 · Just now
NIMCET 2009

Computer A takes 3 minutes per input.
Computer B takes 5 minutes per input.

Let C take x minutes per input.

Together A + B + C process:
14 inputs per hour = $\dfrac{14}{60}$ inputs per minute.

Solution

Rates: A: $\dfrac{1}{3}$ per minute B: $\dfrac{1}{5}$ per minute C: $\dfrac{1}{x}$ per minute Total rate: $\dfrac{1}{3} + \dfrac{1}{5} + \dfrac{1}{x} = \dfrac{14}{60} = \dfrac{7}{30}$ Compute: $\dfrac{8}{15} + \dfrac{1}{x} = \dfrac{7}{30}$ $\dfrac{1}{x} = \dfrac{7}{30} - \dfrac{16}{30} = -\dfrac{9}{30}$ Rate cannot be negative → No such x exists. So:

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