Question

Over the weekend, Samantha and Scott decided to take their dog,

Sparky, to 5K2 Park. 5K Park gets its name from the fact that the
park is a perfect square and is exactly 5,000 meters across. Once
they arrived at the park, Samantha took Sparky to the other side of
the park to play fetch while Scott stayed at the entrance to bird
watch. When it was time to leave, Scott and Samantha started to
slowly walk toward one another while Sparky ran back and forth
between them. Scott walked at a speed of 72.5 meters per minute,
Samantha walked at a speed of 0.875 meters per second and Sparky
ran at a speed of 250 meters per minute. How many meters will
Sparky have run by the time Samantha and Scott meet each other?

Answer 1

Sparky will have run 15,750 meters by the time Samantha and Scott meet each other.

Step-by-step explanation:

To calculate the distance Sparky will run, we need to find the time it takes Samantha and Scott to meet each other. Let's start by converting Samantha's walking speed from meters per second to meters per minute. Since there are 60 seconds in a minute, we can multiply 0.875 meters per second by 60 to get 52.5 meters per minute. Now we can determine the time it takes for Samantha and Scott to meet. Let's call this time 't.' Since Scott walks at a speed of 72.5 meters per minute and Samantha walks at a speed of 52.5 meters per minute, the total distance they cover when they meet is 5000 meters. So, we can write an equation: 72.5t + 52.5t = 5000. Solving for 't,' we find that t = 63 minutes. Finally, we can calculate the distance Sparky will run by multiplying Sparky's speed of 250 meters per minute by the time 't.' So, Sparky will run 250 * 63 = 15750 meters.