SOLUTION: Boris and Natasha start at the same place and at the same time on a 200 meter circular track and run in the same direction. Boris runs at 5 meters per second and Natasha runs at 3

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Boris and Natasha start at the same place and at the same time on a 200 meter circular track and run in the same direction. Boris runs at 5 meters per second and Natasha runs at 3       Log On


   



Question 768181: Boris and Natasha start at the same place and at the same time on a 200 meter circular track and run in the same direction. Boris runs at 5 meters per second and Natasha runs at 3 meters per second. How many meters has Natasha run when they first meet after starting?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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Boris and Natasha start at the same place and at the same time on a 200 meter circular track and run in the same direction.
Boris runs at 5 meters per second and Natasha runs at 3 meters per second.
How many meters has Natasha run when they first meet after starting?
:
The difference in their speeds, 5 - 3 = 2 m/sec
Find how long it will take to for B to travel 200 meters more that N (1 lap)
200%2F2 = 100 seconds
:
In 100 seconds B travels 200 m more that N, which is exactly 1 more lap around
Check the distance each traveled in this time
5 * 100 = 500 meters
3 * 100 = 300 meters
B travels exactly one lap more