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Will and Grace are canoeing on a lake.  Will rows at $50$ meters per minute and Grace rows at $30$ meters per minute. Will starts rowing at $2$ p.m. from the west end of the lake, and Grace starts rowing from the east end of the lake at $2{:}45$ p.m. If they always row directly towards each other, and the lake is $2800$ meters across from the west side of the lake to the east side, at what time will the two meet?

 Jan 23, 2025
 #1
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Before Grace starts rowing Will has rowed   45 * 50  = 2250 m

 

So  the distance between them before Grace starts rowing is  2800 - 2250  = 550 m

 

When Grace starts rowing, the number of  minutes until they meet is

 

550 / (50 + 30) =  550 / 80 =  55/ 8   =  6.875  = 6 + .875 (60)   = 6 min 52.5 sec

 

So....they meet at    2:45  + 6 min 52.5 sec =  2:51 and 52.5 sec

 

 

cool cool cool

 Jan 24, 2025

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