[Question]Lily types 15 words a minute and takes a 2-minute break every 10 minutes. How long does it take for Lily to type 255 words?
[Answer]It would take Lily 255 words / 15 wpm = 17 minutes to type without taking a break. Since Lily takes a break after 10 minutes of typing she takes 17 minutes + 2 minutes = 19 minutes. The answer is 19.
Q: Every year 20 ducks from a flock are killed but another 30 are born. The original flock size is 100 ducks. After 5 years they join with another flock of 150 ducks. How many ducks are in the combined flock?
A: The original flock gains 30 - 20 = 10 ducks per year. So after 5 years they have gained 10 * 5 = 50 ducks. So the original flock has 100 + 50 = 150 ducks. So the combined flock has 150 + 150 = 300 ducks. The answer is 300.
Question: It takes Matt 2 minutes per problem to do his math homework with a calculator and 5 minutes per problem without a calculator. If Matt's assignment has 20 problems, how much time will using a calculator save?
Answer: First find the time difference per problem: 5 minutes / problem - 2 minutes / problem = 3 minutes / problem. Then multiply that number by the number of problems to find the total time difference: 3 minutes / problem * 20 problems = 60 minutes. The answer is 60.
[Question]There are 10 bags with 30 oranges each on a truck. A total of 50 pieces of oranges are rotten. Thirty pieces of oranges will be kept for making orange juice and the rest will be sold. How many pieces of oranges will be sold?
[Answer]There are a total of 10 x 30 = 300 pieces of oranges in a truck. A total of 50 + 30 = 80 pieces of oranges will not be sold. Thus, 300 - 80 = 220 pieces of oranges will be sold. The answer is 220.
Q: Horatio is a poet composing sonnets for his lady fair. He believes it will take many of his sonnets to win her over. Each sonnet is fourteen lines long. His lady fair tells him to leave her alone after he reads her only seven sonnets, and Horatio is heartbroken over the 70 romantic lines he wrote that she never heard. How many sonnets did Horatio write in all?
A: Horatio never got to read 70 / 14 = 5 sonnets. He read his lady 7 sonnets, so he wrote 7 + 5 = 12 sonnets in all. The answer is 12.
Question: Two runners are competing in a 10-mile race. The first runs at an average pace of 8 minutes per mile, while the second runs at an average pace of 7 minutes per mile. After 56 minutes, the second runner stops for a drink of water. For how many minutes could the second runner remain stopped before the first runner catches up with him?
Answer:
After 56 minutes, the second runner has traveled 56 / 7 = 8 miles. Similarly, the first runner has traveled 56 / 8 = 7 miles. Therefore, the two runners are 8 - 7 = 1 mile apart when the second runner stops. Thus, the second runner can stop for a maximum of 8 minutes, which is the amount of time it takes the first runner to travel 1 mile. The answer is 8.