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If someone travels a distance d in time t, then the person’s average speed is Use this fact to solve the problem.
1. A driver travels at 50 mph for the first hour and then travels at 70 mph for the second hour. What is the average speed of the car?
2. A bicyclist rides 1 mile uphill at 5 mph and then rides
1 mile downhill at 10 mph. Find the average speed of the bicyclist. Does your answer agree with what you expected? 3. At a 3-mile cross-country race an athlete runs 2 miles at 8 mph and 1 mile at 10 mph. What is the athlete’s average speed?
4. A pilot flies an airplane between two cities and travels half the distance at 200 mph and the other half at 100 mph. Find the average speed of the airplane.
A Puzzle About Coins Suppose that seven coins look exactly alike but that one coin weighs less than any of the other six coins. If you have only a balance with two pans, devise a plan to find the lighter coin.
What is the minimum number of weighings necessary?
Explain your answer.
Yards to Inches There are 36 inches in 1 yard.
Write a formula that converts Y yards to I inches.
34. Checking Account The initial balance in a checking account is $468. Find the final balance resulting from the following sequence of withdrawals and deposits:
2$14, $200, 2$73, 2$21, and $58.
35. Acid Solution How much of a 4% acid solution should be added to 150 milliliters of a 10% acid solution to dilute it to a 6% acid solution?
36. Bank Loans An individual has two low-interest loans, one at 4% interest and the other at 6% interest.
The amount borrowed at 6% is $250 more than the amount borrowed at 4%. If the total interest for one year is $165, how much money is borrowed at each rate?
If someone travels a distance d in time t, then the person’s average speed is Use this fact to solve the problem.
1. A driver travels at 50 mph for the first hour and then

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