Word Problems — Quiz 2

Questions in this quiz (10)

1. Two airplanes take off from the same airport at 9:00 a.m. One flies due north at 250 miles per hour, and the other flies due west at 200 miles per hour. How many miles apart are the airplanes at 11:00 a.m.?

   • 250
   • 500.3
   • 400
   • 640.3

2. Alex can mow a lawn in 6 hours and Jamie can mow the same lawn in 4 hours. How many hours will it take them to mow the lawn if they work together?

   • $$\frac{5}{2}$$
   • $$2\frac{2}{5}$$
   • $$2\frac{5}{2}$$
   • $$\frac{2}{5}$$

3. A recipe requires 16 ounces of butter and 24 ounces of sugar. If only 12 ounces of butter are used, how much sugar, to the nearest ounce, should be used?

   • 12
   • 18
   • 24
   • 16

4. A camp has enough water to supply 40 people for 5 days. If 20 more people join the camp, how many days will the water last?

   • 3
   • 5
   • 7
   • 6

5. The brightness of a light, $$B$$, varies inversely with the square of the distance, $$d$$, from the light source. If the distance is reduced by a factor of $$\frac{1}{3}$$, by what factor will the brightness increase?

   • 3
   • 6
   • 9
   • 12

6. A basketball team has won 36 games out of 54 played. It has 28 more games to play. How many of these must the team win to finish the season with a 70% winning record?

   • 22
   • 28
   • 36
   • 55

7. QuickRide charges $$55$$ a day plus $$0.50$$ per mile driven to rent a car. Speedy Rentals charges $$50$$ a day plus $$0.65$$ per mile. After how many miles would it cost the same amount to rent a car from either company?

   • 33.33
   • 50
   • 55.25
   • 65

8. A school places two orders for standard and jumbo packs of printer paper. The first order included 50 standard packs and 90 jumbo packs for a total cost of $$715.50$$.The second order included 70 standard packs and 30 jumbo packs for a total cost of $$468.00$$. What is the difference in cost between a standard and a jumbo pack of printer paper?

   • 1.35
   • 1.26
   • 1.50
   • 1.60

9. A hose is filling a pool at a constant rate. At 9:00 a.m., 5 gallons of water have filled the pool. By 1:00 p.m., a total of 13 gallons have been added. How many gallons of water will have filled the pool by 6:00 p.m.?

   • 10
   • 13
   • 15
   • 23

10. You earn $$16.80$$ per hour at your job. After 6 months, you are given a raise of $$3\%$$. In addition, you receive a $$1.50$$ per hour bonus for outstanding performance. Find your new hourly wage if the $$1.50$$ bonus is applied before the $$3\%$$ raise.

    • 18.85
    • 17.30
    • 18.30
    • 17.30