Let's solve each problem one by one:

1. Mr. Reyes drove for 10 hours and reached a distance of 550 kilometers. What was his speed in kph?

The formula for speed is:

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

Given:

• Distance = 550 km
• Time = 10 hours

$\text{Speed} = \frac{550 \text{ km}}{10 \text{ hours}} = 55 \text{ kph}$

Answer: Mr. Reyes' speed was 55 kph.

2. During a school activity, there were 35 people seated at 7 tables. How many people can be seated at 12 similar tables?

The number of people seated per table is:

$\text{People per table} = \frac{35 \text{ people}}{7 \text{ tables}} = 5 \text{ people per table}$

For 12 tables, the total number of people is:

$\text{Total people} = 5 \times 12 = 60 \text{ people}$

Answer: 60 people can be seated at 12 tables.

3. Lina baked 48 cookies in 4 batches. How many cookies can Lina bake in 6 batches?

The number of cookies per batch is:

$\text{Cookies per batch} = \frac{48 \text{ cookies}}{4 \text{ batches}} = 12 \text{ cookies per batch}$

For 6 batches, the total number of cookies is:

$\text{Total cookies} = 12 \times 6 = 72 \text{ cookies}$

Answer: Lina can bake 72 cookies in 6 batches.

Would you like more details on any of these calculations?

Follow-up questions:

1. If Mr. Reyes had driven for 12 hours at the same speed, how far would he have traveled?
2. How long would Mr. Reyes have to drive to cover 660 kilometers at the same speed?
3. How many people would fit at 15 tables, assuming the same seating arrangement?
4. If Lina baked 96 cookies in 8 batches, how many cookies per batch would that be?
5. How long would it take Mr. Reyes to drive 825 kilometers at a speed of 55 kph?

Tip:

When solving problems involving speed, distance, or time, always remember the relationship: Speed = Distance ÷ Time.