Posted by **Maybel** on Tuesday, August 19, 2008 at 4:34am.

Tom was floating down the river on a raft when, 1km down, Michael took to the water in a rowing boat. Michael rowed downstream at his fastest pace. Then he turned around and rowed back, arriving at his starting point just when Tom drifted by.

If Michael's rowing speed in still water is ten times the speed of the current in the river, what distance had Michael covered before he turned his boat around?

- Maths -
**drwls**, Tuesday, August 19, 2008 at 7:27am
Where was Tom when Michael started rowing? He must have been farther upstream at the time. I will assume Tom was one km upstream when Michael started rowing.

Let v = the river speed and V = 10v be Michael's speed in still water.

Michael rows downstream at a land speed v + V = 11 v and upstream at a land speed of V-v = 9 v. Tom travels at speed v (by floating)

Let T be the time they both are on the water between when Michael starts and finishes rowing.

Let t be the time Micheal rows downstream; T-t is the time he rows upstream

v T = 1 km

11 v t = 9 v (T-t)= 9 - 9 vt

20 vt = 9

vt = 0.45 km

So Tom floated 0.45 km while Micheal rowed downstream and 0.55 km while he rowed upstream. Since Micheal rowed downstream 11 times faster than Tom floated, he would have travelled 11*0.45 = 4.95 km in that time

- Maths -
**Anonymous**, Thursday, June 9, 2011 at 3:17pm
dfh

## Answer this Question

## Related Questions

- 8th Grade Math - Tom was floating down the river on a raft when, 1km lower down...
- Algerbra - A boat's crew rowed 10.5 miles downstream, with the current, in 1.5 ...
- algebra - A boat's crew rowed 13.5 miles downstream, with the current, in 1.5 ...
- Math - A boat crew rowed 20 miles downstream, with the current, covered the same...
- math - A boat is rowed down a river a distance of 16 miles in 2 hours and it is ...
- math - A boat's crew rowed 12 miles downstream, with the current, in 1.5 hours. ...
- Math - A boat crew rowed 20 miles downstream, with the current, in 2hours. The ...
- physics - michael starts at x=3 m and travels to the right at a constant 6 m/s ...
- math - Seven people rowed 12 miles downstream with the current in 1.5hrs. Coming...
- science-physics - a boat travels in still water at 2m/s. It is rowed across a ...

More Related Questions