Dance pair duration

Thirty-two boys and 34 girls came to the dance. How many different dance pairs can they make, given that each team is given: they can only dance for 1 minute and then take turns in 5 seconds? Calculate how long the dance evening would last for all the pairs to take turns.

Final Answer:

n =  1088
t =  1178.5833 min

Step-by-step explanation:

$n=32\cdot 34=1088$

$$\begin{gathered} s=5\text{s}\to \text{min}=5:60\text{min}=0.08333\text{min} \\ p=1\text{min} \\ t=n\cdot p+(n-1)\cdot s=1088\cdot 1+(1088-1)\cdot 0.0833=1178.5833\text{min} \end{gathered}$$

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