Steves Travel
January 25th, 2007
Steve traveled 150 miles at a certain speed. Had he gone 20mph faster, the trip would have taken 2 hours le?
1.A rectangular garden has dimensions of 15 feet by 11 feet. A gravel path of uniform width is to be built around the garden. How wide can the path be if there is enough gravel for 192 square feet?
2.A business invests $8,000 in a savings account for two years. At the beginning of the second year, an additional $2,500 is invested. At the end of the second year, the account balance is $11,445. What was the annual interest rate?
3.Steve traveled 150 miles at a certain speed. Had he gone 20mph faster, the trip would have taken 2 hours less. Find the speed of his vehicle.
4.The Hudson River flows at a rate of 5 miles per hour. A patrol boat travels 40 miles upriver, and returns in a total time of 6 hours. What is the speed of the boat in still water?
rt = d
Let Steve's actual rate be x minus the rate plus 20mph to equal the time difference.
150/x - 150/x+20 = 2
150x +3000 - 150x = 2x^2 + 40x
0 = 2(x^2 + 20x - 1500)
0 = 2(x+50)(x-30)
x = 30mph
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