Question: If 8 carpenters can make 50 chairs in 10 days, how many carpenters are needed to make 75 chairs in 10 days?
Answer: The carpenters need to produce 75 / 50 = 1.5 times as many chairs in the same number of days. It will require 1.5 times as many carpenters to produce the extra chairs, so 8 * 1.5 = 12 carpenters will be required. The answer is 12.
[Question]Justin can run 2 blocks in 1.5 minutes. If he is 8 blocks from home, in how many minutes can he run home?
[Answer]There are 8 / 2 = 4 sets of two blocks that Justin can run. Thus, he can run home for 4 x 1.5 = 6 minutes. The answer is 6.
Q: Hannah wants to get the highest grade in the class on the upcoming math test. Because she is out sick the day of the test, she learns ahead of time the top scores she has to beat. She finds out that one student got a 95% on the exam. Another student only got 3 wrong out of 40. How many questions does she have to get right to have the highest score in the class?
A: One student got 37 questions right because 40 - 3 = 37. This student's proportion right is .925 because 37 / 40 = .925. This student got a 92.5% because .925 x 100 = 92.5. The student got got a 95% got 38 right because 40 x .95 = 38. Hannah must beat the student who got a 38 because 38 > 37. Hannah needs to get 39 questions right because 38 + 1 = 39. The answer is 39.
Question: Mobius is the fastest mule in Italy. She can run at a top speed of 13 miles per hour when she is without any load to carry, and she can travel at 11 miles per hour as her top speed when she carries a typical load. If she travels the 143 miles from Florence, Italy to Rome, Italy at top speed while carrying a typical load, then returns to Florence at her usual top speed without carrying a load, how long, in hours, will the trip take if she takes two 30-minute rest stops during each half of the trip?
Answer: 30 minutes is 30 / 60 = 0.5 hours. Two 30 - minute rest stops take 0.5 * 2 - 1 hour. If she takes two rest stops per each half of the journey, then she takes 2 * 1 = 2 hours in rest time. With a load, at her top speed, she can travel 143 miles in 143 / 11 = 13 hours. Without a load, at her top speed, she can travel 143 miles in 143 / 13 = 11 hours. Thus, the round trip will take 13 + 11 + 2 = 26 hours. The answer is 26.
[Question]Connor sleeps 6 hours a night. His older brother Luke sleeps 2 hours longer than Connor. Connor’s new puppy sleeps twice as long as Luke. How long does the puppy sleep?
[Answer]Luke sleeps 2 hours longer than Connor who sleeps 6 hours so that’s 2 + 6 = 8 hours. The new puppy sleeps twice as long as Luke, who sleeps 8 hours, so the puppy sleeps 2 * 8 = 16 hours. The answer is 16.
[Question]In a rice field, you can get a total of 20 sacks of rice every harvest. If the yield increases by twenty percent after every harvest, what is the total number of sacks of rice you can get after the first and second harvest?
[Answer]
There were 20 x 0.20 = 4 sacks of rice increase after the first harvest. So the total sack of rice that you can get on the next harvest 20 + 4 = 24. Therefore the total number of sacks of rice you will get on the first and second harvest is 20 + 24 = 44. The answer is 44.