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A boat traveled 60 miles downstream and back. The trip downstream took 3 hours. The trip back took 6 hours. Find the speed of the boat in still water and the speed of the current.

As boat travelled 60 miles downstream in 3 hours it's speed is 60/3=20 miles per hour.

And as it travelled 60 miles upstream in 6 hours it's average speed upstream is 60/6=10 miles per hour.

Speed of boat in still water = x miles per hour and speed of current = y miles per hour.

Speed downstream would be x+y miles per hour and speed upstream would be x−y miles per hour. 

x+y=20 and x−y=10

Add both together: x+y+x−y=20+10

2x=30 or x=30/2=15 and y=20−15=5

The speed of the boat in still water is 15 miles per hour and speed of current is 5 miles per hour.

 Aug 29, 2018
 #1
avatar+190 
+3

This sounds right to me but CPhill probably has a better answer. smiley

 Aug 29, 2018
 #2
avatar+2442 
+2

Great! I felt good doing this lol

RainbowPanda  Aug 29, 2018
 #3
avatar+98182 
+2

Nope...no better answer......good job  !!!

 

 

cool cool cool

CPhill  Aug 29, 2018
 #4
avatar+190 
+3

Ok then... Good job!

OwenT154  Aug 29, 2018
 #5
avatar+2442 
+1

Thank you both!

 Aug 29, 2018
 #6
avatar+98182 
+1

HAHAHA!!!....we didn't really do anything  !!!!

 

 

cool cool cool

CPhill  Aug 29, 2018

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