You are walking away from home at a constant velocity of 5 km per hour. The first landmark you see is your favorite fountain which happens to be 2 km from your house. Which of the following sequences describes the distances you cover at internals of one hour starting when you pass the fountain?
A. 10,12,14,16,18
B. 5,7,9,11,13
C. 2,7,12,17,22
D. 2,4,6,8,10
E. 5,10,15,20,25
since your speed is 5 km/hr, all the distances must be multiples of 5, since you start counting at the fountain.
Or, if the somewhat vague description means that you want the total distance covered, starting at the fountain, then you have to start with 2, and after that, all the distances must end in 2 or 7
To determine the distances you cover at intervals of one hour starting when you pass the fountain, you need to consider the constant velocity of 5 km per hour.
Let's break it down step-by-step to find the answer:
1. You are already 2 km away from your house when you pass the fountain.
2. After the first hour, you will have traveled 5 km (since your velocity is 5 km per hour). Therefore, the distance you cover after the first hour is 2 km + 5 km = 7 km.
3. After the second hour, you will have traveled another 5 km. So, the distance you cover after the second hour is 7 km + 5 km = 12 km.
4. After the third hour, again you travel another 5 km. Thus, the distance you cover after the third hour is 12 km + 5 km = 17 km.
5. After the fourth hour, you travel another 5 km, making the distance covered after the fourth hour equal to 17 km + 5 km = 22 km.
6. Finally, after the fifth hour, you travel 5 km more, resulting in a distance of 22 km + 5 km = 27 km.
Based on this, the correct answer is option C. The correct sequence of distances you cover at intervals of one hour starting when you pass the fountain is 2, 7, 12, 17, 22.