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The boat is going 10 miles per hour in still water it takes 2 hours to go downstream and 3 hours to go upstream. What’s the speed of the current and distance of the trip?

 Mar 5, 2020
 #1
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Let  C be the  rate of the current

 

Downstream   the rate of the  boat =  10 + C

Upstream the  rate =  10 - C

 

So    rate * time  =  distance.....so   equating distances  we have  that

 

(10+C  ) * 2  =   (10 - C)  * 3       (1)

 

20  + 2C =  30  - 3C     rearrange  as

 

5C  =  10           divide both sides  by  5

 

C = 2     [ the speed of the  current = 2 mph ]

 

And  using either side of   (1).....the distance is  2 (10 + 2)  = 24  miles

 

 

cool cool cool

 Mar 5, 2020

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