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UNIFORM MOTION PROBLEMS

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?. r. t. d. Jo. d = rt. Jim. UNIFORM MOTION PROBLEMS.

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UNIFORM MOTION PROBLEMS

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  1. 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? r t d Jo d = rt Jim

  2. 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? r t d Jo 55 t 55t t 65 65t Jim 55t + 65t = 240  SOLVE

  3. 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? r t d Rob 28 t 28t t 19 19t Rae 28t + 19t = 150  SOLVE

  4. 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? r t d Tim 50 t + 1 50(t + 1) t 60 60t Tom 50(t + 1) = 60t  SOLVE

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

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

  7. SAMPLE PROBLEM How much pure antifreeze should you mix with 6 quarts of 45% antifreeze to get 60% antifreeze? x 6 x + 6 100% 45% 60% + = 1x + .45(6) = .60(x + 6) SOLVE

  8. SAMPLE PROBLEM How much pure antifreeze should you mix with 6 quarts of 45% antifreeze to get 60% antifreeze? x 6 x + 6 100% 45% 60% + = 1x + .45(6) = .60(x + 6) SOLVE

  9. SAMPLE PROBLEM 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. r t d Rene 40 t 40t t 60 60t Ronnie 40t + 60t = 240  SOLVE

  10. 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? 10 x x + 10 $4 $7 $5.50 + = 4(10) + 7x = 5.50(x + 10)

  11. 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? r t d Cyclist A 20 t 20t t 14 14t Cyclist B 20t – 14t = 15

  12. 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? x 480 - x $4 $6 $2340 + = 4x + 6(480 – x) = 2340

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