# Booklet 5 Problem Solving Level 7 Answers.pdf - Problem...

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Page 1 of 8Booklet 5Problem SolvingBooklet 5ANSWERSThis booklet provides opportunities for students to engage in activities thatrequire them to:investigate;make conjectures;use problem-solving strategies;apply their mathematical understanding;verify solutions;use mathematical language
Page 2 of 8Booklet 51)x - Distance of Uphilly - Distance of Downhillz - Distance Level GroundTotal walking time=6=(x/2+y/6+z/3) + (x/6+y/2+z/3)(This is used for her walking back --- uphill turns to downhill and downhillturns to uphill)6(x/2+y/6+z/3+y/2+x/6+z/3) = 3636=4(x+y+z)===> x+y+z=36/4=9====> She walks 18km in total.2)Volume of the water =Volume of 1/2 of tank = 1/2 100cm * 40cm * 60cm= 120,0001/2 (120,000) = 60,00060,000 = 100 cm * 60 cm * d10 cm = d3)->250m aheadLet x = time for Alex to finishLet t = time for Fred to finishAlexFredThomasdist at x1000m800m600mSpeed1000m/x800m/x600m/xFind the time it will take Fred to finish200m/speed(Fred)=t200m / 800m / x200 * x / 800 = tx/4 = tHow far can Thomas go in that time(Fred was 200 ahead and will go antoher 200)t*speed(Thomas)600m/x * x/4 = 150m in that time400 - 150 = 250mThomas has 200m left to go.

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