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Question bank: Operations: Ratios

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Question 1:

Easy

What is the ratio between two liters of water and three liters of juice?
Operations: Ratios
Question 2:

Medium

João and Maria are friends and decided to save money to buy a gift for their teacher. João saved R$ 75 in 5 weeks, while Maria managed to save R$ 135 in 9 weeks. a) What is the ratio of money saved by João in relation to the weeks? b) What is the ratio of money saved by Maria in relation to the weeks? c) If both continue to save in the same proportion, who will have saved R$ 200 first and in how many weeks?
Operations: Ratios
Question 3:

Very Easy

A car travels 90 kilometers in 1.5 hours. Considering the distance traveled and the time spent, determine the ratio between distance and time, and explain the importance of this ratio for evaluating the vehicle's performance on a trip. For this, remember the concept of ratio and its application in situations involving speed calculations.
Operations: Ratios
Question 4:

Very Hard

In a race competition, two cars start from the same position and travel around a circular track of 500 meters in length. Car A completes the first lap in 40 seconds, while car B, which has twice the speed of car A, completes the first lap in less time. Considering that a car's speed is directly proportional to the inverse of the time it takes to complete a lap, determine the ratio between the speed of car A and car B. Additionally, if car B completes a lap in half the time it takes car A, calculate the time it takes for car B to complete the entire circular track and compare it with the time of car A.
Operations: Ratios
Question 5:

Medium

A tank has a capacity of 40 liters and there is a tap that fills it with water. If at the end of 5 minutes the tap has filled 2/5 of the tank, how many liters of water were added in this period?
Operations: Ratios
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