Time Taken to Drive to the Rink

Oct 13, 2025 by talynt.org 48 views

Introduction

In this article, we will delve into a real-world problem involving distance, speed, and time. We will use mathematical equations to find the solution to the problem presented. The problem revolves around Rosario's daily commute to an ice-skating rink that is 60 miles away. We will use the given information to create an equation that can be used to find the number of miles per hour Rosario drives on his way back from the rink.

Given Information

The ice-skating rink is 60 miles away from Rosario's location.
The round-trip to the rink takes 2.75 hours.
Rosario averages 55 miles per hour on his way to the rink.

Step 1: Understanding the Problem

Let's break down the problem and understand what is being asked. We are given the distance to the rink, the total time taken for the round-trip, and the speed at which Rosario drives to the rink. We need to find the speed at which Rosario drives back from the rink.

Step 2: Creating an Equation

To create an equation, we need to use the formula: Distance = Speed × Time. We can use this formula to find the time taken for Rosario to drive to the rink and the time taken for him to drive back from the rink.

Time Taken to Drive to the Rink

We know that Rosario averages 55 miles per hour on his way to the rink. We can use the formula: Distance = Speed × Time to find the time taken for him to drive to the rink.

60 = 55 × Time

To find the time taken, we can divide both sides of the equation by 55:

Time = 60 ÷ 55
Time = 1.09 hours

Time Taken to Drive Back from the Rink

We know that the total time taken for the round-trip is 2.75 hours. We can use the formula: Total Time = Time to Rink + Time Back from Rink to find the time taken for Rosario to drive back from the rink.

2.75 = 1.09 + Time Back from Rink

To find the time taken for Rosario to drive back from the rink, we can subtract 1.09 from both sides of the equation:

Time Back from Rink = 2.75 - 1.09
Time Back from Rink = 1.66 hours

Creating the Equation

Now that we have the time taken for Rosario to drive back from the rink, we can create an equation to find the speed at which he drives back from the rink. We can use the formula: Distance = Speed × Time.

60 = Speed × 1.66

To find the speed, we can divide both sides of the equation by 1.66:

Speed = 60 ÷ 1.66
Speed = 36.14 miles per hour

Conclusion

In this article, we used mathematical equations to find the speed at which Rosario drives back from the ice-skating rink. We broke down the problem into smaller steps and used the formula: Distance = Speed × Time to create an equation that can be used to find the speed. We found that Rosario drives back from the rink at a speed of 36.14 miles per hour.

Equation to Find the Speed

The equation to find the speed at which Rosario drives back from the rink is:

Speed = 60 ÷ Time Back from Rink

Where Time Back from Rink is the time taken for Rosario to drive back from the rink.

Final Answer

Q: What is the problem presented in the article?

A: The problem presented in the article is to find the speed at which Rosario drives back from an ice-skating rink that is 60 miles away. The round-trip takes 2.75 hours, and Rosario averages 55 miles per hour on his way to the rink.

Q: What is the given information in the problem?

A: The given information in the problem is:

The ice-skating rink is 60 miles away from Rosario's location.
The round-trip to the rink takes 2.75 hours.
Rosario averages 55 miles per hour on his way to the rink.

Q: How do we find the time taken for Rosario to drive to the rink?

A: We can use the formula: Distance = Speed × Time to find the time taken for Rosario to drive to the rink. We know that the distance to the rink is 60 miles and the speed is 55 miles per hour.

60 = 55 × Time

To find the time taken, we can divide both sides of the equation by 55:

Time = 60 ÷ 55
Time = 1.09 hours

Q: How do we find the time taken for Rosario to drive back from the rink?

A: We can use the formula: Total Time = Time to Rink + Time Back from Rink to find the time taken for Rosario to drive back from the rink. We know that the total time taken for the round-trip is 2.75 hours and the time taken to drive to the rink is 1.09 hours.

2.75 = 1.09 + Time Back from Rink

To find the time taken for Rosario to drive back from the rink, we can subtract 1.09 from both sides of the equation:

Time Back from Rink = 2.75 - 1.09
Time Back from Rink = 1.66 hours

Q: How do we create an equation to find the speed at which Rosario drives back from the rink?

A: We can use the formula: Distance = Speed × Time to create an equation to find the speed at which Rosario drives back from the rink. We know that the distance to the rink is 60 miles and the time taken to drive back from the rink is 1.66 hours.

60 = Speed × 1.66

To find the speed, we can divide both sides of the equation by 1.66:

Speed = 60 ÷ 1.66
Speed = 36.14 miles per hour

Q: What is the final answer to the problem?

A: The final answer to the problem is 36.14 miles per hour, which is the speed at which Rosario drives back from the ice-skating rink.

Q: What is the equation to find the speed at which Rosario drives back from the rink?

A: The equation to find the speed at which Rosario drives back from the rink is:

Speed = 60 ÷ Time Back from Rink

Where Time Back from Rink is the time taken for Rosario to drive back from the rink.

Conclusion

In this article, we have answered some of the frequently asked questions related to the problem presented in the article. We have used mathematical equations to find the speed at which Rosario drives back from the ice-skating rink. We have also provided the equation to find the speed at which Rosario drives back from the rink.