Question

In a community center 15 bottles are evenly spaced 12 cm apart from each other in a row for a competition

what is the distance from the fourth bottle to the tenth bottle?​

Answer 1

72 cm

Explanation:

Relative to the first bottle, there are n - 1 spaces between the first bottle and the nth bottle. Since, each bottle is placed relative to the first bottle.

Now, for the fourth bottle, that is, n = 4, there are 4 - 1 = 3 spaces between the first and fourth bottle.

Since each space is 12 cm, the distance between the first and fourth bottle is 12 cm × 3 = 36 cm.

Now, for the tenth bottle, that is, n = 10, there are 10 - 1 = 9 spaces between the first and fourth bottle.

Since each space is 12 cm, the distance between the first and fourth bottle is 12 cm × 9 = 108 cm.

So, the distance between the fourth bottle and tenth bottle is distance between tenth bottle to first bottle minus distance between fourth bottle to first bottle = 108 cm - 36 cm = 72 cm