If a kayak moves at a rate of 12 mph in still water If the river's current flow is 3 mph how long will it take to travel 29 miles?

That depends upon whether the kayak is going upstream or downstream. Which is it?

To find out how long it will take the kayak to travel 29 miles, we need to consider the speed of the kayak and the speed of the river's current.

The speed of the kayak in still water is given as 12 mph. This means that if there were no current, the kayak could travel 12 miles in one hour.

However, we also need to account for the current of the river, which is flowing at a speed of 3 mph. Since the current is flowing in the same direction as the kayak, it will assist the kayak in moving faster.

To calculate the effective speed of the kayak, we add the speed of the current to the speed of the kayak. In this case, 12 mph + 3 mph = 15 mph.

Now we can calculate the time it will take to travel 29 miles with this effective speed. We divide the distance (29 miles) by the speed (15 mph):

Time = Distance / Speed
Time = 29 miles / 15 mph

Calculating this, we find:

Time = 1.9333 hours

To convert this to minutes, we multiply by 60:

Time = 1.9333 hours * 60 minutes/hour
Time = 116 minutes (rounded to the nearest minute)

Therefore, it will take the kayak approximately 1 hour and 56 minutes (or 116 minutes) to travel 29 miles in these conditions.