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Word Problems : Relative Speed of Swimmers

(#48) Two swimmers start at opposite ends of a pool 89 feet long. One person swims at the rate of 19 feet per minute and the other swims at a rate of 53 feet per minute. How many times will they meet in 33 minutes?

(#33) Two swimmers start at opposite ends of a 90-foot pool. One swims 30 feet per minute and the other at 20 feet per minute. If they swim for 30 minutes, how many times will they meet each other?
My initial thought was to set the variables of the problem as follows:

I have answered two problems involving the distance of swimmers. My solutions are detailed in the attachment. My professor has emailed me the following statements in two separate emails:
RE: Q48 Could you draw a graph which shows each
swimmer.[distance(y axis) vs. time(x axis)]At point origin one swimmer at 0 distance the other one 89 since they are opposite side of the pool.

I need to see or hear your reaction when
you compare your (Swimmer problems)solutions with the graphing solutions.

I am not sure what I will find to be different after I graph them, but I am assuming he thinks something will be different or he wouldn't be asking me to do this. This is where I need your help. I need you to look at the two questions (attachment) with my responses and graph the solutions to each of these problems. If you find something different in these two problems, then I need you to explain what is different and why. I hope this makes sense. THANKS!


Solution Summary

The number of times swimmers meet given speed and time are calculated.