Ask Question
21 November, 02:21

Relay Races Two runners ran as a team in a 5,000-m relay race. The first runner ran 500 m farther than the second runner. How many meters did each run?

+1
Answers (1)
  1. 21 November, 02:48
    0
    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
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “Relay Races Two runners ran as a team in a 5,000-m relay race. The first runner ran 500 m farther than the second runner. How many meters ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers