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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?

 May 31, 2024

Best Answer 

 #1
avatar+806 
+1

So first off, let's calculate the distance Will fovers before Grace even begins to row. 

 

We have \((45 min)(50 m/min) = 2250 m \)

 

When Grace starts to row, the two have to cover \((2800 m) – (2250 m) = 550 m \)

 

Since they are rowing at eachother at the same time, if we let t be the time it takes, we have \( (50)(t) + (30)(t) = 550 \)

 

Solving this, we get

 \( 80t = 550 \\ t = 550/80 = 6.875 \)

 

This rounds to approximately 6 minutes and 52 seconds. 

 

This means in addition to the 45 minutes Will takes at the beggining, they will take an additional 6 minutes and 52 seconds to meet. 

 

Now, we some math to find that they meet at \(2:51:52\) P.M. 

 

Thanks! :)

 May 31, 2024
 #1
avatar+806 
+1
Best Answer

So first off, let's calculate the distance Will fovers before Grace even begins to row. 

 

We have \((45 min)(50 m/min) = 2250 m \)

 

When Grace starts to row, the two have to cover \((2800 m) – (2250 m) = 550 m \)

 

Since they are rowing at eachother at the same time, if we let t be the time it takes, we have \( (50)(t) + (30)(t) = 550 \)

 

Solving this, we get

 \( 80t = 550 \\ t = 550/80 = 6.875 \)

 

This rounds to approximately 6 minutes and 52 seconds. 

 

This means in addition to the 45 minutes Will takes at the beggining, they will take an additional 6 minutes and 52 seconds to meet. 

 

Now, we some math to find that they meet at \(2:51:52\) P.M. 

 

Thanks! :)

NotThatSmart May 31, 2024

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