Italy G.

asked • 02/10/16

Kayak Race

In a kayak race, the participants must paddle a kayak 450 meters down a river & then return 450 meters up the river to the starting point. Susan has correctly deduced that the total time t(in sec) depends on the speed c(in m per sec) of the eater according to the following formula. Please fill in the chart.
 
 
Formula: t=450/v+c + 450/v-c
Time(t)sec    v(m/sec)   c(m/sec)
240               ?               1
300               ?               2
?                   4               3
?                   3               1
540                3              ?
?                   3               3     

1 Expert Answer

By:

Stephen M. answered • 02/10/16

Tutor
4 (4)

Effective Grad Specializing in Math, Science, Test Prep Skills

Italy G.

Thanks, I have updated the above word problem
Report

02/10/16

Stephen M.

OK !
I'm going to work on this step by step, so I can give you little bits as I work it out.
 
First thing in a new problem, I check for units.
D (meters) = V (meters/sec) * T (seconds)
Units check :  no conversion factors -  that makes it easy.
 
Next I do logic check.
 
The heart of the problem is that against the current you lose Velocity of the current from your paddling speed.
And with the current you gain the current and add it to your paddling speed.
 
This is the difference in measuring speed with a GPS and a speedometer.
The GPS measures speed along the ground.
The speedometer measures speed on the water.
 
So if you could paddle at 5 miles per hour and the current was 5 miles per hour and it was pushing you, you'd be moving 10 miles per hour measured with shore based radar.  
And if you were paddling against the current, you wouldn't appear to be moving at all !!
 
Report

02/10/16

Italy G.

Okay! That helps me understand a bit more. I am still confused as to how do I use the formula.
Report

02/10/16

Still looking for help? Get the right answer, fast.

Ask a question for free

Get a free answer to a quick problem.
Most questions answered within 4 hours.

OR

Find an Online Tutor Now

Choose an expert and meet online. No packages or subscriptions, pay only for the time you need.