Albert and Bernard run around a stadium. They start at the same point but run in opposite directions. It is known that Albert’s speed is as twice as that of Bernard. Whenever Albert meets Bernard (not including the time they start), Albert will give Bernard a candy. When Bernard finally returns to the starting point, how many candies in total will he receive from Albert?
A delivery truck traveled from Phoenix Town to Dragon Town at an average speed of 80km/h. When traveled from Dragon Town to Phoenix Town by the same route, its average speed decreased by 10%. The truck traveled three trips from Phoenix Town to Dragon Town and returned, the total time taken is 19 hours. What is the distance between the two towns?
There are three ropes. The first ropes is 7m longer than the second rope. The second rope is 8m longer than the third one. If the total length of these three ropes is 95m, how long is each rope?
A tank has height of 42cm and a rectangular base where ratio of width to length is 1 : 3. At first the tank is $\frac{1}{6}$ filled with water. When another 735ml of water is added, it becomes $\frac{2}{5}$ full.
The sum of the books of Donna and her sister is 255 books. If the number of Donna’s books is four times the number of her sister’s, how many books does Donna have?
$\frac{1}{3}$ of the students in primary 7A is 3 more than $\frac{1}{4}$ of the students in primary 7B. There is a total of 72 students in the two classes. How many students are there in primary 7A?
The table shows the price of tickets for groups of people.
| Number of people | 1 to 25 | 26 to 50 | 51 and above |
| --- | --- | --- | --- |
| Price per person | 20 dollars | 18 dollars | 16 dollars |
Peter and Tom each brought a group of tourists to visit some attractions. Peter’s group has less people than Tom’ group. If they buy the tickets separately, they will pay 1322 dollars in total. If they buy the tickets together, they only need to pay 1136 dollars. How many people are there in Peter’s group?
Sometimes, companies will buy stock in businesses owned by one or more of their competitors in order to gain some control over the competing companies. Suppose Company X buys a 500-block share of stock in each of two of its competitors. The first competitor is a small regional company. The block of its stock cost 25,000 dollars less than half as much as the block of the other competitor’s stock, which is a large national company. Together, Company X pays 155,000 dollars for the two blocks of stock. How many more thousands of dollars did Company X spend on acquiring the stock of the national competitor than the regional one?
Luke has played 20 games and has a 95% winning percentage. Without losing any more games, how many more games in a row must he win to reach exactly a 96% winning percentage?
