Question

6. Two joggers start at the same time from opposite ends of a 10 km course. One jogger is running at 6 km/hr and the other is running at 10 km/hr. How long after they start will they meet?​

Answer 1

In this problem, we are basically finding the LCM of the two numbers.

LCM means the smallest common multiple of two or more numbers.

For example, the LCM of 5 and 10 would be 10, because 5 can go into 10.

Another example would be the LCM of 9 and 6. The answer would be 18, because both numbers can go into 18 and that is the smallest it can go.

Explanation:

So, in this problem, we are finding the LCM of 10 and 6.

The LCM of 10 and 6 would be 30.

If you thought it was 60, you are correct, but the two numbers have a smaller similarity.

10: 10, 20, 30, 40, 50, 60.

6: 6, 12, 18, 24, 36, 42, 48, 54, and 60.

As you can see, 30 is the best choice to pick.

Hope this helps and have an amazing day!