A dolphin is swimming at a speed of 12 miles per hour. It takes her 5 minutes to travel 1/4 of the way out to the pod. How many miles from shore is the dolphin's pod?
It took Markus half an hour to drive home from work. He averaged 34 miles per hour. How far does Markus live from his work?
Solution
We are given that it takes 5 an hour for the trip. This is a time:
t = 5 minutes
We are given that he averages 12 miles per hour. This is a rate:
r = 12
We are asked how few he has traveled. This is a distance. We use the d=rt equation:
d = rt
= (5)(12)
= 60
Dolphin is 60 miles from shore.
Is this correct?
well, did you check your answer?
5 minutes = 1/12 hour
so she goes 1/12 * 12 = 1 mile
that makes the distance 4 miles
so, what went wrong? You used minutes instead of hours. Watch the units.
hr * mi/hr = miles
Ok, thank you. So, it's (1/12) times 12 = 1 mile
Then, 1 hr = 60 minutes
60 minutes / 5 minutes = 12 minutes which is 4 miles?
The provided solution is incorrect. To find the distance from shore, we need to determine the distance the dolphin travels in 5 minutes, which is 1/4 of the way to the pod. Let's break down the problem correctly:
We are given:
- Dolphin's speed: 12 miles per hour
- Time taken to travel 1/4 of the way to the pod: 5 minutes
To find the total distance to the pod, we need to find the distance traveled in 5 minutes and then multiply it by 4.
Distance traveled in 5 minutes:
d = rt
d = (12 miles/hour) * (5/60) hours
d = 1 mile
Since the dolphin has traveled 1 mile in 5 minutes, the total distance to the pod is:
Total distance = 1 mile * 4 = 4 miles
Therefore, the dolphin's pod is 4 miles from shore.
Now, let's move on to the second problem:
We are given:
- Markus' average speed while driving home: 34 miles per hour
- Time taken to drive home: half an hour
To find the distance Markus lives from his work, we can multiply his average speed by the time taken:
Distance = Speed * Time
Distance = 34 miles/hour * 0.5 hours
Distance = 17 miles
Therefore, Markus lives 17 miles from his work.
Both the corrected solutions are provided above.