Question #1 There once was a peaceful city on the Mississippi called Upper Branc

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Question #1

There once was a peaceful city on the Mississippi called Upper Branch. Downstream a distance of thirty miles was the notorious Lower Branch - a town filled with drinking, gambling and loose morals.  

Mike's old boat now traveled the circuit between the two locations at full throttle leaving Upper Branch at 6:00 PM and arriving at Lower Branch by 7:00 PM.  

After a night of carousing Mike, quite tipsy by then, left Lower Branch at 10:00 PM and traveled up river (at a slower pace due to the river currents opposite the boats direction) arriving at Upper Branch at 11:30 PM.

Determine the speed of the Mississippe between Upper and Lower Branch.

Remember Distance = (velocity)(time) and the river flows downstream.  

Question #2 A dilution problem:

Joe needs to make a 1 gallon 3% solution of acetic acid.  All he has is a bottle containing 25% acetic acid.  How much should he pour out from this bottle and dilute with water?

Question #3
At the General Electric company in New York there are fifty identical X-14 machines making 60 watt light bulbs.   Altogether they can turn out 100,000 bulbs in fifteen hours.      If only thirty X-14 machines were operating, how many hours would be needed to manufacture the 100,000 bulbs?

Question #4 Nickels, dimes and quarters problem

Hannah had $ 22.00 in her piggy bank.  She proudly boasted that she had twice as many dimes as nickels and five times as many quarters as dimes.   How many dimes did she have?

Explanation / Answer

4) 22 = (2*d *.1 + d*.05 + (10*d*.25)

ans = 2d = 16

3) 15 * 50 / 30 = 255 hrs

1)30 / x+y = 1 ........... x = 30-y
30/ x-y = 1.5 .............. 1.5 x = 30-1.5 y

y = 5 miles / hr

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