# math

posted by .

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?

• math -

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)

## Similar Questions

1. ### Math

2 cyclists start at the same tiem from opposite ends of a course that is 45 miles long. One cyclist is riding at 14 mph and the second is riding at 16mph. How long after they begin will they meet?
2. ### physics

two runners who live 10 miles apart leave home and start running towards each other at the same time. one runner runs 4 miles per hour, and the ohter runs 6 miles per hour. how long after the runners begin running will they meet?
3. ### algebra II

Two runners at opposite ends of a 5 mile bridge begin jogging towards each other. Runner A is running at 5 mph, runner B is running at 4 mph. A mosquito lands on one runner as he starts on the bridge than proceeds to fly back and forth …
4. ### math-algebra

The Mayan Empire, which ruled Central America for centuries, had two calendars. One calendar was the same as ours, 365 days long (without leap year). The other calendar was 270 days long, the length of a woman's pregnancy. If both …
5. ### math

The Mayan Empire, which ruled Central America for centuries, had two calendars. One calendar was the same as ours, 365 days long (without leap year). The other calendar was 270 days long, the length of a woman's pregnancy. If both …
6. ### Algebra

Two joggers are running around an oval track in opposite directions. One jogger runs around the track in 56 seconds. They meet every 24 seconds. How many seconds does it take the second jogger to run around the track?
7. ### Algebra

Two joggers are running around an oval track in opposite directions. One jogger runs around the track in 56 seconds. They meet every 24 seconds. How many seconds does it take the second jogger to run around the track?