Printable primary math worksheet for math grades 1 to 6 based on - Free Printable

To solve the problems, we will use the formula for average speed:

\[
\text{Average Speed} = \frac{\text{Total Distance}}{\text{Total Time}}
\]

Let's solve each problem step by step.

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Problem 1:

Mandy is on a bus traveling to Grandma's house, which is 144 miles away. It takes her 3 hours to reach where Grandma lives. Calculate the average speed of the bus.

#### Solution:
- Distance = 144 miles
- Time = 3 hours

Using the formula:
\[
\text{Average Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{144 \text{ miles}}{3 \text{ hours}} = 48 \text{ miles per hour}
\]

Answer: \( \boxed{48} \) miles per hour

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Problem 2:

Amanda, a student of marine biology, observes that a sailfish travels 272 miles in 4 hours. Determine the speed of the sailfish.

#### Solution:
- Distance = 272 miles
- Time = 4 hours

Using the formula:
\[
\text{Average Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{272 \text{ miles}}{4 \text{ hours}} = 68 \text{ miles per hour}
\]

Answer: \( \boxed{68} \) miles per hour

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Problem 3:

On a sunny day, Gabriella and her friend bike to the beach, 15 miles away from where they live. It takes them 2 hours to reach the beach. Calculate the average speed.

#### Solution:
- Distance = 15 miles
- Time = 2 hours

Using the formula:
\[
\text{Average Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{15 \text{ miles}}{2 \text{ hours}} = 7.5 \text{ miles per hour}
\]

Answer: \( \boxed{7.5} \) miles per hour

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Problem 4:

A pronghorn, running up a steep cliff to escape its predator, covered 45 miles in 1 hour and 45 minutes. Determine the pronghorn's speed. Round your answer to two decimal places.

#### Solution:
- Distance = 45 miles
- Time = 1 hour and 45 minutes

First, convert the time to hours:
\[
1 \text{ hour } 45 \text{ minutes} = 1 + \frac{45}{60} = 1 + 0.75 = 1.75 \text{ hours}
\]

Using the formula:
\[
\text{Average Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{45 \text{ miles}}{1.75 \text{ hours}} \approx 25.71 \text{ miles per hour}
\]

Answer: \( \boxed{25.71} \) miles per hour

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Problem 5:

A direct flight from Newark to Seattle covers a distance of 2,402 miles in 6 hours. Calculate the average speed of the flight. Round your answer to two decimal places.

#### Solution:
- Distance = 2,402 miles
- Time = 6 hours

Using the formula:
\[
\text{Average Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{2402 \text{ miles}}{6 \text{ hours}} \approx 400.33 \text{ miles per hour}
\]

Answer: \( \boxed{400.33} \) miles per hour

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Final Answers:

1. \( \boxed{48} \) miles per hour
2. \( \boxed{68} \) miles per hour
3. \( \boxed{7.5} \) miles per hour
4. \( \boxed{25.71} \) miles per hour
5. \( \boxed{400.33} \) miles per hour