dbillings
Nov 18, 2009, 04:13 PM
Dan boated downstream with the current for 3 miles, then truned around and cam back to his starting point. If the total time was 4 hours and the current was 0.4 mile per hour, what is the speed dan can boat in still water?
Unknown008
Nov 19, 2009, 08:03 AM
Ok, first, let the speed of the boat in still water be x m/s.
The speed of the boat downstream is (x + 0.4) m/s
The speed of the boat upstream is (x - 0.4) m/s
Now, using the distance, speed time formula;
Time = \frac{Distance}{Speed}
We get Time downstream = 3/(x+0.4) Let this be Td
Time upstream = 3/(x - 0.4) Ket this be Tu
Total time = 4 hours. Let this be Tt
So, T_t = T_d + T_u
Hence;
4 = \frac{3}{(x+0.4)} + \frac{3}{(x - 0.4)}
Can you solve it?