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Will and Grace are canoeing on a lake that is 2350 meters across from the west side of the lake to the east side. Will rows at 50 meters per minute and Grace rows at 10 meters per minute. Will starts rowing at 2 PM from the west end of the lake, and Grace starts rowing from the east end of the lake at 2:05 PM. If they always row directly towards each other, at what time will the two meet?

 May 17, 2020
 #1
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Will and Grace are rowing towards each other at a rate of 60 meters per minute, so meet at 2350/60 + 5 minutes after 2 PM, which works out to 2:44 PM.

 May 17, 2020
 #2
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Will covers some of the distance (5 minutes worth ) before Grace starts

    50 m/mim X 5 min = 250 meters

       there is 2350 - 250 = 2100 meters to cover before they meet

 

The are approaching each other at   (50 + 10) = 60 m/min

    the time to cover 2100 M      is        2100 m / (60 m/min) = 35 mintes

2:05 + 35 min == 2:40   when they meet

 May 17, 2020

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