Computer K can perform $x$ calculations in $y$ seconds and computer L can perform $r$ calculations in $s$ minutes. Find the number of calculations they can perform in $t$ minutes by working together simultaneously.

t (\frac{x}{60 y} + \frac{r}{s})

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t (\frac{60 x}{y} + \frac{r}{s})

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t (\frac{x}{y} + \frac{r}{s})

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t (\frac{x}{y} + \frac{60 r}{s})

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60 t (\frac{x}{y} + \frac{r}{s})

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Solution

The correct option is A $t (\frac{60 x}{y} + \frac{r}{s})$
Given, computer $K$ can perform $x$ calculations in $y$ seconds and computer $L$ can perform $r$ calculations in s minutes.
Then computer $K$ can do one calculation $=$ $\frac{60 x}{y}$ minutes
And computer $L$ can do one calculation $=$ $\frac{r}{s}$ minutes
Then both computer calculation in $t$ minutes $=$ $(\frac{60 x}{y} + \frac{r}{s}) t$

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∣ ∣ ∣ ∣ \begin{matrix} ^{x} C_{r} & ^{x} C_{r + 1} & ^{x} C_{r + 2}^{y} C_{r} & ^{y} C_{r + 1} & ^{y} C_{r + 2}^{z} C_{r} & ^{z} C_{r + 1} & ^{z} C_{r + 2} \end{matrix} ∣ ∣ ∣ ∣ = ∣ ∣ ∣ ∣ ∣ \begin{matrix} ^{x} C_{r} & ^{x + k} C_{r + k} & ^{x + m} C_{r + m}^{y} C_{r} & ^{y + p} C_{r + p} & ^{y + s} C_{r + s}^{z} C_{r} & ^{z + l} C_{r + l} & ^{z + t} C_{r + t} \end{matrix} ∣ ∣ ∣ ∣ ∣

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