Question

To place the first paving stone in a path, Alex starts at the crate of stones, walks three feet, places the stone, and returns to the crate. For each subsequent stone, Alex walks two feet farther each way. Alex will place the first 50 stones in a path. After returning to the crate from placing the stone, what is the total distance Alex walked, in feet?

Answer 1

Answer:

The distance covered is 5200 feet.

Step-by-step explanation:

From the starting stone to the last the distance between them is of 2 feet. There are 50 stones and the distance between the crate and first stone is 3 feet.

He walked to the first stone 3 feet and then came back 3 feet and that totals 6 feet. Again he started moving towards the first stone and then the second stone 3+2= 5

The first stone is

2(3) + 2(1) + 2(2) + 2(3)+.......2( 48) +2(49).

The first  term is 6 and the last term is 100 which gives a sum of 6+ 98= 104

Similarly the second term is 8 and the second last is 96  which gives a total of 96+ 8= 104

As there are 50 stones  the total distance would be

104* 50= 5200

As Alex went and came back the distance would be 5200 feet.