Distance Formula

Sarah is on a road trip and driving at a constant speed. After driving for 4 hours at 60 miles per hour, she wants to know how far she has traveled. What formula can Sarah use to find the distance she has traveled?

• Rate = Time ÷ Distance

• Area = Length × Width

• Time = Distance ÷ Rate

• Distance = Rate × Time

Answer explanation

Sarah can use the formula: Distance = Rate × Time to find the distance she has traveled. In this formula, "Rate" represents her speed (60 miles per hour), and "Time" represents the number of hours she has been driving (4 hours). By multiplying her speed by the time, she can calculate the total distance she has traveled during the 4 hours of driving.

Sarah's speed (Rate) = 60 miles per hour

Time = 4 hours

Distance = 60 miles/hour × 4 hours = 240 miles

Therefore, Sarah has traveled a distance of 240 miles during her 4-hour drive.

The correct answer is option c) Distance = Rate × Time.

Jenna is running in a race at a constant speed. She completes the race in 2 hours and covers a distance of 10 kilometers. What can Jenna do to find her average running speed?

• Use the formula Speed = Distance × Time

• Use the formula Time = Distance × Speed

• Rearrange the distance formula to solve for rate

• Rearrange the distance formula to solve for time

Answer explanation

Jenna can rearrange the distance formula, which is Distance = Rate × Time, to solve for her average running speed (rate). By rearranging the formula, she can find the rate by dividing the distance covered by the time taken. The formula would look like this: Rate = Distance ÷ Time.

Given information:

Distance (D) = 10 kilometers

Time (T) = 2 hours

Rearranged formula: Rate = Distance ÷ Time

Rate = 10 km ÷ 2 hours = 5 kilometers per hour

Therefore, Jenna's average running speed is 5 kilometers per hour.

A truck is driving at a speed of 50 miles per hour. How far will the truck have traveled after 2.8 hours?

• 120 miles

• 130 miles

• 140 miles

• 150 miles

Answer explanation

To find the distance traveled by the truck, use the formula: Distance = Rate × Time

Rate (speed of the truck) = 50 miles per hour

Time = 2.8 hours

Distance = 50 mph × 2.8 hours = 140 miles

Therefore, the truck will have traveled 140 miles after 2.8 hours.

George drives at a constant speed. He covers a distance of 120 kilometers in 2.5 hours. What is George's average speed in kilometers per hour?

• 30 km/h

• 48 km/h

• 40 km/h

• 50 km/h

Answer explanation

To find George's average speed, use the formula: Speed = Distance ÷ Time

Distance covered by George = 120 kilometers

Time taken by George = 2.5 hours

Speed = 120 km ÷ 2.5 hours = 48 kilometers per hour

A truck drives at an average speed of 40 miles per hour. If it needs to cover a distance of 320 miles, how long will it take to reach its destination?

• 8 hours

• 7 hours

• 6 hours

• 9 hours

Answer explanation

To find the time taken by the truck, use the formula: Time = Distance ÷ Speed

Distance to be covered = 320 miles

Speed = 40 miles per hour

Time = 320 miles ÷ 40 miles per hour = 8 hours