The first runner ran 2750 meters and second runner ran 2250 meters
Solution:
Given that,
Relay Races Two runners ran as a team in a 5,000-m relay race
Let "a" be the distance ran by first runner
Let "b" be the distance ran by second runner
The first runner ran 500 m farther than the second runner
Therefore,
distance ran by first runner = 500 + distance ran by second runner
a = 500 + b
a - b = 500
Thus the difference between the distance ran by first runner and distance ran by second runner is 500
Now lets try out different pairs of numbers with a sum of 5000 and the difference between that numbers should be 500
2500 + 2500 = 5000 [ But the difference is 2500 - 2500 = 0]
3000 + 2000 = 5000 [ But the difference is 3000 - 2000 = 1000 ]
2750 + 2250 = 5000 [The difference is 2750 - 2250 = 500 ]
Thus the pair of number is a = 2750 and b = 2250
Thus first runner ran 2750 meters and second runner ran 2250 meters