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?

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.

Step-by-step 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!