Posted by **Kiersten Hailey** on Thursday, January 12, 2012 at 3:32pm.

A boat towing a water skier leaves a dock and travels east at a speed of 20mph. Two minutes later, a second boat towing another skier leaves the dock in the same direction at a speed of 25mph. How long will it take the second boat to overtake the first boat?

PLEASE help!? /:

- Algebra 1 -
**Damon**, Thursday, January 12, 2012 at 3:38pm
first boat goes for t + 2 min at 20/60

second boat goes for t min at 25/60

distance = same = speed * time

20(t+2)/60 = 25 t/60

4(t+2) = 5 t

8 minutes = t

- Algebra 1 -
**Kiersten Hailey**, Thursday, January 12, 2012 at 3:39pm
Thanks!! :)

- Algebra 1 -
**Steve**, Thursday, January 12, 2012 at 3:42pm
distance = speed * time

the second boat travels 2 min less than the first boat

converting mph to miles/min, both boats traveled for m minutes, making the same distance.

m * 20/60 = (m-2) * 25/60

20m = 25m - 50

5m = 50

m = 10

10 min at 20mph = 20 * 10/60 = 200/60mi

8 min at 25mph = 25 * 8/60 = 200/60 mi

## Answer this Question

## Related Questions

- calc - A boat leaves a dock at 3:00 PM and travels due south at a speed of 20 km...
- Calculus (math) - A boat leaves a dock at 2:00 P.M. and travels due south at a ...
- Calculus (math) - A boat leaves a dock at 2:00 P.M. and travels due south at a ...
- calculus - a boat leaves a dock at 2:00 pm and travels due south at a speed of ...
- Calculus - At 2:00PM boat X is heading due west at 15mph towards a dock that is ...
- calculus - Boat A leaves the dock at 12pm heading due South at a constant speed ...
- math - a boat leaves a dock at 2:00pm ,heading west at 15 km/h. another boat ...
- Physics - A speed boat at rest begins to move in a straight line from a dock. ...
- Math - Two boats are approaching the same dock. Boat A measures 37° from boat B ...
- Algebra - If a boat leaves dock and travels 3 miles north, then travels 2.5 ...

More Related Questions