Solving the Second Example

Oct 13, 2025 by leolavanderia.com.br 80 views

In physics and mathematics, the relationship between distance, speed, and time is a fundamental concept that is often used to solve problems involving motion. One of the key concepts in this area is the idea of direct proportionality, which states that if two quantities are directly proportional, then one quantity is a constant multiple of the other. In the context of distance, speed, and time, this means that the distance traveled is directly proportional to the time of travel, given a constant speed.

The Formula for Distance

The formula for distance, which is given by the equation $d = 55t$ , is a direct representation of this concept. In this equation, $d$ represents the distance traveled, $55$ represents the constant speed, and $t$ represents the time of travel. This equation shows that the distance traveled is directly proportional to the time of travel, given a constant speed of 55 mph.

Applying the Formula to a Real-World Scenario

To apply this formula to a real-world scenario, let's consider the following problem: If a car travels at 55 mph for 3 hours, how many miles does it go? To solve this problem, we can simply plug in the values given in the problem into the formula for distance.

Calculating the Distance

Using the formula $d = 55t$ , we can calculate the distance traveled by the car as follows:

$d = 55t$ $d = 55(3)$ $d = 165$

Therefore, the car travels a distance of 165 miles.

Conclusion

In conclusion, the formula for distance, $d = 55t$ , is a powerful tool for solving problems involving motion. By understanding the relationship between distance, speed, and time, we can use this formula to calculate the distance traveled by an object given its speed and time of travel. In this article, we applied this formula to a real-world scenario and calculated the distance traveled by a car traveling at 55 mph for 3 hours.

Answer

The correct answer to the problem is A) 165.

Additional Examples

Here are a few additional examples of how to use the formula for distance:

If a car travels at 60 mph for 2 hours, how many miles does it go?
If a car travels at 40 mph for 4 hours, how many miles does it go?
If a car travels at 80 mph for 1 hour, how many miles does it go?

To solve these problems, we can simply plug in the values given in the problem into the formula for distance.

Solving the First Example

Using the formula $d = 55t$ , we can calculate the distance traveled by the car as follows:

$d = 60t$ $d = 60(2)$ $d = 120$

Therefore, the car travels a distance of 120 miles.

Solving the Second Example

Using the formula $d = 55t$ , we can calculate the distance traveled by the car as follows:

$d = 40t$ $d = 40(4)$ $d = 160$

Therefore, the car travels a distance of 160 miles.

Solving the Third Example

Using the formula $d = 55t$ , we can calculate the distance traveled by the car as follows:

$d = 80t$ $d = 80(1)$ $d = 80$

Therefore, the car travels a distance of 80 miles.

Conclusion

In conclusion, the formula for distance, $d = 55t$ , is a powerful tool for solving problems involving motion. By understanding the relationship between distance, speed, and time, we can use this formula to calculate the distance traveled by an object given its speed and time of travel. In this article, we applied this formula to several real-world scenarios and calculated the distance traveled by cars traveling at different speeds for different times.

Answer

The correct answers to the additional examples are:

A) 120
A) 160
A) 80
Frequently Asked Questions About Distance, Speed, and Time ===========================================================

In the previous article, we discussed the formula for distance, $d = 55t$ , and how it can be used to calculate the distance traveled by an object given its speed and time of travel. In this article, we will answer some frequently asked questions about distance, speed, and time.

Q: What is the formula for distance?

A: The formula for distance is $d = 55t$ , where $d$ represents the distance traveled, $55$ represents the constant speed, and $t$ represents the time of travel.

Q: How do I use the formula for distance?

A: To use the formula for distance, simply plug in the values given in the problem into the formula. For example, if a car travels at 55 mph for 3 hours, you would plug in $55$ for the speed and $3$ for the time of travel.

Q: What if the speed is not 55 mph?

A: If the speed is not 55 mph, you can simply plug in the new speed value into the formula. For example, if a car travels at 60 mph for 2 hours, you would plug in $60$ for the speed and $2$ for the time of travel.

Q: What if the time of travel is not in hours?

A: If the time of travel is not in hours, you will need to convert it to hours before plugging it into the formula. For example, if a car travels at 55 mph for 2 days, you would need to convert 2 days to hours (2 days x 24 hours/day = 48 hours) before plugging it into the formula.

Q: Can I use the formula for distance to calculate the time of travel?

A: Yes, you can use the formula for distance to calculate the time of travel. To do this, you would need to rearrange the formula to solve for $t$ . The rearranged formula would be $t = d/55$ , where $t$ represents the time of travel, $d$ represents the distance traveled, and $55$ represents the constant speed.

Q: What if the speed is not constant?

A: If the speed is not constant, you will need to use a different formula to calculate the distance traveled. In this case, you would need to use the formula for average speed, which is $d = (v_i + v_f)t/2$ , where $d$ represents the distance traveled, $v_i$ represents the initial speed, $v_f$ represents the final speed, and $t$ represents the time of travel.

Q: Can I use the formula for distance to calculate the speed?

A: Yes, you can use the formula for distance to calculate the speed. To do this, you would need to rearrange the formula to solve for $v$ . The rearranged formula would be $v = d/t$ , where $v$ represents the speed, $d$ represents the distance traveled, and $t$ represents the time of travel.

Conclusion

In conclusion, the formula for distance, $d = 55t$ , is a powerful tool for solving problems involving motion. By understanding the relationship between distance, speed, and time, we can use this formula to calculate the distance traveled by an object given its speed and time of travel. In this article, we answered some frequently asked questions about distance, speed, and time, and provided examples of how to use the formula for distance in different scenarios.

Additional Resources

For more information about distance, speed, and time, please see the following resources:

Answer

The correct answers to the frequently asked questions are:

Q: What is the formula for distance? A: $d = 55t$
Q: How do I use the formula for distance? A: Plug in the values given in the problem into the formula.
Q: What if the speed is not 55 mph? A: Plug in the new speed value into the formula.
Q: What if the time of travel is not in hours? A: Convert it to hours before plugging it into the formula.
Q: Can I use the formula for distance to calculate the time of travel? A: Yes, use the rearranged formula $t = d/55$ .
Q: What if the speed is not constant? A: Use the formula for average speed, $d = (v_i + v_f)t/2$ .
Q: Can I use the formula for distance to calculate the speed? A: Yes, use the rearranged formula $v = d/t$ .