Problem 3: A car travels at a speed of 45 km/h for 16 minutes. What is the distance traveled in km? Problem 4: A machine produces 50 products per hour. How many products are produced in 36 minutes?

1. Problem Description

Problem 3: A car travels at a speed of 45 km/h for 16 minutes. What is the distance traveled in km?

Problem 4: A machine produces 50 products per hour. How many products are produced in 36 minutes?

2. Solution Steps

Problem 3:

First, convert the time from minutes to hours.

$16 \text{ minutes} = \frac{16}{60} \text{ hours}$

Simplify the fraction:

$\frac{16}{60} = \frac{4}{15}$

The distance traveled is the speed multiplied by the time.

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

$\text{Distance} = 45 \text{ km/h} \times \frac{4}{15} \text{ h}$

$\text{Distance} = \frac{45 \times 4}{15} \text{ km}$

$\text{Distance} = \frac{180}{15} \text{ km}$

$\text{Distance} = 12 \text{ km}$

Problem 4:

First, determine the number of products produced per minute.

$\text{Products per minute} = \frac{50 \text{ products}}{60 \text{ minutes}}$

Simplify the fraction:

$\text{Products per minute} = \frac{5}{6} \text{ products/minute}$

The number of products produced in 36 minutes is:

$\text{Number of products} = \text{Products per minute} \times \text{Time}$

$\text{Number of products} = \frac{5}{6} \text{ products/minute} \times 36 \text{ minutes}$

$\text{Number of products} = \frac{5 \times 36}{6}$

$\text{Number of products} = \frac{180}{6}$

$\text{Number of products} = 30$

3. Final Answer

Problem 3: 12 km

Problem 4: 30 products