Question

C) Jasper and Emma are training for a marathon. Jasper runs 6 kilometers at a

time while Emma prefers to run in blocks of 3 kilometers. At the end of a
month, they realize that they have run same total number of kilometers. What
is the smallest number of kilometers that each must have run?

Answer 1

The smallest number of kilometers that each must have ran is 6 km

Explanation:

The distance Jasper prefers to run at a time = 6 km

The distance Emma prefers to run at a time = 3 km

The distance ran by Jasper at month end = The distance ran by Emma at the end of the month

The smallest number of kilometers that each must have ran is given by the lowest common multiple, LCM of 6 and 3 as follows;

The multiples of 6 are;

6 × 1 = 6, 6 × 2 = 12...

The multiples of 2 are;

3 × 1 = 3, 3 × 2 = 6...

∴ The LCM of which = 6

Therefore, the smallest number of kilometers that each must have ran = 6 km