45km per hour to 60km per hour ratio of the following
The Correct Answer and Explanation is:
Correct Answer:
The ratio of 45 km per hour to 60 km per hour is:4560=34\frac{45}{60} = \frac{3}{4}6045=43
So, the simplified ratio is 3:4.
Textbook-Style Explanation
To find the ratio between two quantities, we divide one quantity by the other. In this case, we are given two speeds: 45 kilometers per hour and 60 kilometers per hour. The goal is to express the ratio of these two speeds in its simplest form.
We start by writing the ratio as a fraction:Ratio=4560\text{Ratio} = \frac{45}{60}Ratio=6045
Next, we simplify this fraction by dividing both the numerator (45) and the denominator (60) by their greatest common divisor (GCD). The GCD of 45 and 60 is 15.45÷1560÷15=34\frac{45 \div 15}{60 \div 15} = \frac{3}{4}60÷1545÷15=43
This means that the ratio of 45 km/h to 60 km/h simplifies to 3:4.
Ratios can be interpreted in various real-life contexts. In this example, for every 3 units of speed at 45 km/h, there are 4 units of speed at 60 km/h. If we think about two vehicles, one moving at 45 km/h and the other at 60 km/h, the second vehicle is moving faster. The ratio tells us that for every 3 kilometers the slower vehicle travels, the faster one travels 4 kilometers in the same amount of time.
It is also important to note that when comparing quantities with the same unit (in this case, kilometers per hour), we can directly form a ratio without converting units. Always remember that ratios should be expressed in their simplest form, just like fractions, to accurately represent the relationship between two values.
Thus, the simplified and correct ratio of 45 km/h to 60 km/h is 3:4.
