Chapter 5  Objective 5.1  Exercises

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Solve.

1.  A jet plane flying with the wind went 2600 mi in 5 h. Against the wind, the plane could fly only 2200 mi in the same amount of time. Find the rate of the plane in calm air and the rate of the wind.

2.  A motorboat traveling with the current went 80 mi in 4h. Against the current, it took 5 h to travel the same distance. Find the rate of the boat in calm water and the rate of the current.

3.  A corporate jet flying with the wind flew 1000 mi in 4 h. Flying against the wind, the plane required 5 h to travel the same distance. Find the rate of the wind and the rate of the plane in calm air.

4.  A rowing team rowing with the current traveled 45 mi in 3 h. Against the current, the team rowed 27 mi in 3 h. Find the rate of the rowing team in calm water and the rate of the current.

5.  Flying with the wind, a plane flew 1080 mi in 3 h. Against the wind, the plane required 4 h to fly the same distance. Find the rate of the plane in calm air and the rate of the wind.

6.  A merchant mixed 15 lb of a cinnamon tea with 10 lb of spice tea. The 25-pound mixture sells for $65. A second mixture included 14 lb of the cinnamon tea and 16 lb of the spice tea. The 30-pound mixture sells for $84. Find the cost per pound for the cinnamon and for the spice tea.

7.  A contractor buys 20 yd of nylon carpet and 30 yd of wool carpet for $860. A second purchase, at the same prices, includes 24 yd of nylon carpet and 32 yd of wool carpet for $984. Find the cost per yard of the wool carpet.

8.  A coin bank contains only quarters and dimes. The total value of the coins in the bank is $10.40. If the dimes were quarters and the quarters were dimes, the total value of the coins would be $9.20. Find the numbers of dimes in the bank.

9.  A sheet metal shop ordered 60 lb of tin and 30 lb of a zinc alloy for a total cost of $480. A second purchase, at the same prices, included 40 lb of tin and 70 lb of the zinc alloy. The total cost was $770. Find the total cost per pound of the tin and of the zinc alloy.

10.  A store owner purchased thirty 75-watt light bulbs and 40 fluorescent lights for a total cost of $95. A second purchase, at the same prices, included forty 75-watt light bulbs and 20 fluorescent lights for a total cost of $60. Find the cost of a 75-watt bulb and of a fluorescent light.

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