Solve this word problem.?

Question

Update : It takes 6 hours for a boater to travel 16 miles upstream and 16 miles back. If the speed of the boat in still water is 6 mph, What is the speed of the current show work use a table.

 

 

 

 

Answer 1

Down stream distance = 16 miles

Up stream distance = 16 miles

Boat speed in still water = 6 mph

Total travelling time = 6 hours

Let x be the speed of the current (stream)

Down stream speed = Boat speed in still water + current speed = 6 + x

Up stream speed = Boat speed in still water - current speed = 6 - x

It takes 6 hours for a boater to travel 16 miles upstream and 16 miles back.Hence

Total travelling time = Upstream Time + Downstream Time

6(36 - x²) = 192

216 - 6x² = 192

6x² = 216 + 192

x² = 408

x = 20.199

x = 20.2

The Speed of the current is 20.2 mph