Word Problems — Quiz 9

Questions in this quiz (10)

1. Olivia works every 4th day, and Emma works every 6th day. Today, they both started on the same shift. In how many days will they work together again?

   • 12
   • 4
   • 6
   • 8

2. Lisa spends 96 dollars on 8 tickets for two train classes. Class X tickets cost 4 dollars more than Class Y tickets. How many Class X tickets did she buy, and what is the price of each ticket?

   • 10 tickets, 8 dollars
   • 8 tickets, 12 dollars
   • 10 tickets, 12 dollars
   • 8 tickets , 10 dollars

3. Two science classes took an exam. Class A had an average score of 75, and Class B had an average score of 85. The combined average score of both classes is 81. Which class had more students?

   • Class B had more students.
   • Class A had more students.
   • Class A and B had the same number of students.
   • Not known

4. In a club of 7 people, members speak French, German, or both. Three people speak French, and six speak German. How many speak both languages?

   • 7
   • 6
   • 3
   • 2

5. A science quiz contains 20 questions. Each correct answer earns 7 points and each incorrect answer deducts 2 points. If Ryan scores 108 points, how many questions did he attempt?

   • 11
   • 18
   • 12
   • 16

6. A hiker starts from town A toward town B, 12 miles away, at a speed of 3 mph. At the same time, a second hiker starts from town B toward A at 2 mph. When and where will they meet?

   • They will meet after $$5$$ hours, $$12$$ miles from town A.
   • They will meet after $$2$$ hours, $$12$$ miles from town A.
   • They will meet after $$3$$ hours, $$5$$ miles from town A.
   • They will meet after $$2.4$$ hours, $$7.2$$ miles from town A.

7. An electric power company charges its consumers 0.40 dollar per kilowatt for the first 100 kilowatts in a month, 0.50 dollar per kilowatt for the second 100 kilowatts, and 0.60 dollar for each additional kilowatt beyond. Mary pays 120 dollars for electricity used in last month. How many kilowatts did her family consume in the month?

   • 300
   • 120
   • 250
   • 100

8. It takes Alice 10 days to complete a project alone. Bob can complete the same project in 20 days. They work together for 5 days, after which Alice stops and Bob finishes the rest on his own. How many more days will it take Bob to complete the project?

   • 5
   • 10
   • 14
   • 20

9. Jim and John drive from point A to point B in separate cars. Jim leaves at 6 am and arrives at 4 pm. John leaves at 10 am and arrives at 3 pm. Assume both men drive at constant speeds. Find when John catches up with Jim.

   • $$1\text{ pm}$$
   • $$4 \text{ pm}$$
   • $$2 \text{ pm}$$
   • $$3 \text{ pm}$$

10. Todd agreed to work for his Dad for 20 days to get $$500$$ and an iPod. He worked for only 10 days and had to quit for some reason. He got $$200$$ and the iPod based on the amount of work done. How much was iPod valued?

    • 400
    • 300
    • 500
    • 100