Row Your Boat

**String (S _{i}P_{j}A_{jk}) = S_{7}P_{5}A_{51} Base Sequence = 1275-5-51 **

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Row Your Boat - Calculating Duration Of Upstream Downstream Boating

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1. You can row a boat at 6 miles/hr in a given river when the water is still. You plan to row upstream for 12 miles and back when the river's current flows at 2 miles/hr. How long will the entire trip take (ignore time it takes to change direction)?

**The string**: S_{7}P_{5}A_{51} (physical change - duration ).

{m_{i}} = {you, boat, paddle, river}

S_{i} = the boat's containership (i.e. the boat contains you, paddle, etc); the river's containership (i.e. the river contains the boat).
*Independent Pj Problem (IPP)*: river's *containership*

*Dependent Pj Problems (DPP)*: *change* (speed of boat), *motion* (distance covered by boat).

*Pj Problem of Interest (PPI)* is *change* (the change in time measured as the difference between starttime and endtime of roundtrip). Time (duration) problems are usually *change problems*.
**The math**:

Figure 1.1 illustrates the upstream and downstream speed of boat. When boat is moving upstream, it is slowed by the rivers current.

So, its speed = *6 - 2* = 4 miles/hr.

So time it takes to travel 12 miles upstream = 12/4 = 3 hrs.

When boat is moving downstream, it is aided by rivers current

So, its speed = *6 + 2* = 8 miles/hr.

So time it takes to travel 12 miles downstream = 12/8 = 3/2 = 1.5 hrs.

Set starttime, *t _{0}* = 0 hrs'

So duration of roundtrip (upstream then downstream) = 4.5 hrs.

The *point* **.** is a mathematical abstraction. It has negligible size and a great sense of position. Consequently, it is front and center in abstract existential reasoning.

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