



 
Hi, Suppose that at time $t$ minutes Ramya and Kumar clap together. Ramya claps at the rate of $\large \frac{17}{3}$ claps per minute and hence at time $t$ minutes she claps \[t \times \frac{17}{3} \mbox{ times.}\] This is the number of times she claps so it must be an integer. What does that tell you about $t?$ Penny 



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