Question

1. if the ratio of boys to girls in a school is 4:5, and there are 360 students, how many are girls?

1. a bicycle travels 60 km in 2 hours.

a. what speed has the bicycle travelled in terms of km per hour?
b. how far would it travel in 6 hours if they continued at the same speed?

Explanation:

Question 3: Calculate the number of girls

Using the Ratios and Proportional Sharing knowledge points

$$
LATEXBLOCK0
$$

Question 4a: Calculate the speed of the bicycle

Find the speed in kilometers per hour.

$$ \text{Speed} = \frac{\text{Distance}}{\text{Time}} $$

Substitute the given values:

$$ \text{Speed} = \frac{60\text{ km}}{2\text{ hours}} = 30\text{ km/h} $$

This represents the unit rate of travel.

Question 4b: Calculate the distance travelled in 6 hours

Find the distance using the constant speed.

$$ \text{Distance} = \text{Speed} \times \text{Time} $$

Substitute the speed from the previous step:

$$ \text{Distance} = 30\text{ km/h} \times 6\text{ hours} = 180\text{ km} $$

The bicycle travels 180 kilometers.

Answer:

Question 3

200 girls

Question 4

a. \(30\text{ km/h}\)
b. \(180\text{ km}\)