It takes juan 1/2 hour to walk 2 miles. He decides to start walking in his spare time
That's great! Walking is a healthy and enjoyable way to spend spare time. Knowing that Juan takes 1/2 hour to walk 2 miles, we can calculate his average speed using the formula:
Average Speed = Distance / Time
So, Juan's average speed would be:
Average Speed = 2 miles / 1/2 hour
To divide by a fraction, we can multiply by its reciprocal:
Average Speed = 2 miles * 2 / 1 hour
Simplifying, we get:
Average Speed = 4 miles per hour
Therefore, Juan walks at an average speed of 4 miles per hour when he walks 2 miles in 1/2 hour.
Step 1: Determine the distance Juan wants to walk.
- Since Juan wants to start walking in his spare time, we need to know how far he wants to walk. Let's say he wants to walk for 1 hour.
Step 2: Calculate the walking speed.
- Juan walks 2 miles in 1/2 hour, so his walking speed is 2 miles per 1/2 hour.
- To calculate his speed per hour, we need to double the distance and double the time.
- Speed = (2 miles / 1/2 hour) * (2 hours / 1)
- Speed = 4 miles per hour.
Step 3: Calculate the distance Juan will cover in 1 hour.
- Now that we know Juan's walking speed is 4 miles per hour, we can calculate the distance he will cover in 1 hour.
- Distance = Speed * Time
- Distance = 4 miles per hour * 1 hour
- Distance = 4 miles.
Therefore, if Juan walks for 1 hour, he will cover a distance of 4 miles.
To calculate how long it will take Juan to walk a certain distance, we need to know the speed at which he walks. In this case, we are given that Juan takes 1/2 hour to walk 2 miles.
To find his walking speed, we can use the formula:
Speed = Distance / Time
So, his walking speed would be:
Speed = 2 miles / (1/2 hour)
= 2 miles / (1/2)
= 2 miles * (2/1)
= 2 miles * 2
= 4 miles per hour
Now, if Juan decides to start walking in his spare time, we can use his walking speed to calculate how long it will take him to walk a specific distance.
For example, if we want to determine how long it would take Juan to walk 5 miles, we can use the formula:
Time = Distance / Speed
So, the time it would take Juan to walk 5 miles would be:
Time = 5 miles / 4 miles per hour
= 5/4 hours
= 1.25 hours
Therefore, it would take Juan 1.25 hours (or 1 hour and 15 minutes) to walk 5 miles at a speed of 4 miles per hour.