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

Well, to calculate how long it will take for the joggers to meet, we need to figure out how much distance they will cover together each hour.

So, the combined speed of the joggers is 6 km/h + 10 km/h, which equals 16 km/h.

To cover a distance of 10 km together, it would take them 10 km divided by 16 km/h, which is approximately 0.625 hours.

However, since we all know that people don't typically measure time in hours and decimals, we need to convert 0.625 hours into minutes.

0.625 hours is equal to 0.625 × 60 minutes, which is approximately 37.5 minutes.

Therefore, it will take about 37.5 minutes for the joggers to meet. Just enough time for a quick snack break!

To find out how long it will take for the two joggers to meet, we can use the formula:

Time = Distance / Speed

Let's denote the time it takes for them to meet as "t" hours.

Since the joggers are running towards each other from opposite ends, their combined distance is equal to the total length of the course, which is 10 km.

So, the distance covered by the first jogger in time "t" is given by:

Distance 1 = Speed 1 * Time = 6 km/h * t

Similarly, the distance covered by the second jogger is:

Distance 2 = Speed 2 * Time = 10 km/h * t

Since they are running towards each other, the sum of their distances covered is equal to the total distance:

Distance 1 + Distance 2 = 10 km

6t + 10t = 10

16t = 10

t = 10 / 16

Therefore, they will meet after approximately 0.625 hours, or 37.5 minutes.

To find out how long it will take for the joggers to meet, we need to consider their relative speeds. Since they are moving towards each other from opposite ends of the 10-km course, their speeds are combined.

The first jogger is running at 6 km/h, while the second jogger is running at 10 km/h. When they start, the total speed at which they are moving towards each other is (6 km/h + 10 km/h) = 16 km/h.

To determine the time it will take for them to meet, we can use the formula:

Time = Distance / Speed

In this case, the distance they need to cover to meet is 10 km, and their combined speed is 16 km/h. Plugging these values into the formula:

Time = 10 km / 16 km/h

To simplify the formula, we can cancel out the units of km:

Time = 10 / 16 h

Now we can calculate the time:

Time = 0.625 h

The time it will take for the joggers to meet is approximately 0.625 hours, or roughly 37.5 minutes.

Their times running would be the same

Let the distance covered by the slower runner be x km
then the distance of the other is 10-x km
since time = distance/rate

x/6 = (10-x)/10
solve for x, then sub into x/6 for the time
(I got 5/8 of an hour)