UNIFORM MOTION PROBLEMS Jo & Jim are 240 miles apart. Jo starts toward Jim at 55 mph at the same time Jim starts toward Jo at 65 mph. How long until they.

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Presentation transcript:

UNIFORM MOTION PROBLEMS Jo & Jim are 240 miles apart. Jo starts toward Jim at 55 mph at the same time Jim starts toward Jo at 65 mph. How long until they meet? Jo Jim rtd d = rt

UNIFORM MOTION PROBLEMS Jo & Jim are 240 miles apart. Jo starts toward Jim at 55 mph at the same time Jim starts toward Jo at 65 mph. How long until they meet? Jo Jim rtd t t 55t 65t 55t + 65t = 240  SOLVE

UNIFORM MOTION PROBLEMS Rob & Rae leave the same place at the same time going in different directions. If Rob is traveling at 28 mph and Rae is traveling at 19 mph, how long until they are 150 miles apart? Rob Rae rtd t t 28t 19t 28t + 19t = 150  SOLVE

UNIFORM MOTION PROBLEMS Tim heads west at 50 mph. Tom leaves 1 hour later (heading west) at 60 mph. How long until Tom catches Tim? Tim Tom rtd t + 1 t 50(t + 1) 60t 50(t + 1) = 60t  SOLVE

MIXTURE PROBLEMS How much 12% nitrogen should you mix with 20% nitrogen to get 100 lbs. of 17% nitrogen? += x100 - x100 12%20%17%.12x SOLVE +.20(100 – x)=.17(100)

MIXTURE PROBLEMS How much 30% acid should you mix with 5 pints of 55% acid to get 25% acid? += x5x %55%25%.30x SOLVE +.55(5)=.25(x + 5)

SAMPLE PROBLEM How much pure antifreeze should you mix with 6 quarts of 45% antifreeze to get 60% antifreeze? += x6x %45%60% 1x SOLVE +.45(6)=.60(x + 6)

SAMPLE PROBLEM How much pure antifreeze should you mix with 6 quarts of 45% antifreeze to get 60% antifreeze? += x6x %45%60% 1x SOLVE +.45(6)=.60(x + 6)

Rene and Ronnie are 240 miles apart. If they start out toward each other at the same time, how long will it take them to meet if Rene travels at 40 mph and Ronnie travels at 60 mph. Rene Ronnie rtd t t 40t 60t 40t + 60t = 240  SOLVE SAMPLE PROBLEM

PROBLEM #8 The Nut Shoppe sells walnuts for $4 a pound and cashews for $7 a pound. How many pounds of cashews should be mixed with 10 pounds of walnuts to obtain a mixture that sells for $5.50 a pound? += 10xx + 10 $4$7$5.50 4(10)+ 7x= 5.50(x + 10)

PROBLEM #10 Two cyclists begin traveling in the same direction on the same bike path, leaving at the same time. One travels at 20 mph, and the other travels at 14 mph. When will they cyclists be 15 miles apart? Cyclist A Cyclist B rtd t t 20t 14t 20t – 14t = 15

PROBLEM #22 Madison HS band sold gift wrap. The wrap in solid colors sold for $4 per roll, and the print wrap sold for $6 per roll. They sold 480 rolls and collected $2340. How many rolls of each kind were sold? += x480 - x $4$6$2340 4x+ 6(480 – x)= 2340

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