Thread: CURRENTly...

Made this up as my xmas gift to ya'll ! Easy nuff...

Boat leaves point A, at constant speed b mph,
against a current of speed c mph for 1st hour.
The current's speed increases by 1 mph hourly.
Like, boat nets (1st 3 hours): b-c, b-(c+1), b-(c+2)....

At point B, after u hours, a hat falls out of
the boat, and floats with the current towards A,
and gets to A after travelling for v hours.

Boat continues for another w hours to point C,
where it turns around and heads towards A.
YES, the boat reaches A at same time as the hat!

Distance AB = d miles, distance BC = e miles.
Be advised that e - d = 39 miles.
Please note that w = 6 hours; you're welcome.

b, c, d, e, u, v, w are all integers.
Find b and v.

Code:

b = 38, c = 2,3,4,....
                                   4h                                       10h
A>.....36.....35.....34.....33.....>B>...32....31....30....29....28....27....>C
16h
A<.17.16.15.14.13.12.11.10.9.8.7.6.<B[HAT]
16h
A<..........55..........54.........53.........52.........51........50........<C