<p>A straight river that is <img alt="$264$" height="13" src="https://latex.artofproblemsolving.com/f/8/d/f8ddc8fc71a12bc811232ab5dac94baef5c24945.png" width="27" /> meters wide flows from west to east at a rate of <img alt="$14$" height="12" src="https://latex.artofproblemsolving.com/8/2/0/820a20de2847dfdc1bc5cffc8d904933150032bd.png" width="18" /> meters per minute. Melanie and Sherry sit on the south bank of the river with Melanie a distance of <img alt="$D$" height="14" src="https://latex.artofproblemsolving.com/9/f/f/9ffb448918db29f2a72f8f87f421b3b3cad18f95.png" width="17" /> meters downstream from Sherry. Relative to the water, Melanie swims at <img alt="$80$" height="12" src="https://latex.artofproblemsolving.com/f/e/a/fea5fcc6d66685ee21f722efcd228eb44d38f262.png" width="17" /> meters per minute, and Sherry swims at <img alt="$60$" height="12" src="https://latex.artofproblemsolving.com/3/0/2/302e99c1c7cd91a6ae371139e5142ccef5977dca.png" width="17" /> meters per minute. At the same time, Melanie and Sherry begin swimming in straight lines to a point on the north bank of the river that is equidistant from their starting positions. The two women arrive at this point simultaneously. Find <img alt="$D$" height="14" src="https://latex.artofproblemsolving.com/9/f/f/9ffb448918db29f2a72f8f87f421b3b3cad18f95.png" width="17" />.</p>

Question No: 431

A straight river that is $264$ meters wide flows from west to east at a rate of $14$ meters per minute. Melanie and Sherry sit on the south bank of the river with Melanie a distance of $D$ meters downstream from Sherry. Relative to the water, Melanie swims at $80$ meters per minute, and Sherry swims at $60$ meters per minute. At the same time, Melanie and Sherry begin swimming in straight lines to a point on the north bank of the river that is equidistant from their starting positions. The two women arrive at this point simultaneously. Find $D$ .

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