Ask Question
15 April, 03:15

Robert and Elaine ran around the high school track during gym class. robert ran 1/2 of the way around the track in 5/6 minute. Later in the day, elaina ran 3/4 of the way around the track in 9/10 minute. When they meet after school, Robert claims that he can run father in a minute than elaina. Is he correct or incorrect? Explain your reasoning.

Unpack the problem:

Make a plan:

Solution:

Look back and explain:

+4
Answers (1)
  1. 15 April, 06:05
    0
    Answer

    Incorrect

    Explanation

    Unpack the problem:

    Let the distance round the track to be X.

    Speed is the ratio of distance to time.

    Robert run a distance of (1/2) x

    Elaine run a distance of (3/4) x

    Make a plan:

    Finding the speed of each.

    Compare their speeds to determine who ran faster than who.

    Solution:

    Robert's speed = (1/2) x / (5/6)

    =1/2*6/5x

    = (3/5) x

    = 0.6x

    Elaine's speed = (3/4) x / (9/10)

    = (3/4) * (10/9) x

    = (5/6) x

    = 0.83333x

    Elaine ran faster than Robert.

    Look back and explain:

    0.83333x > 0.6x

    Elaine's speed is higher than Robert's speed.

    This shows that Elaine ran faster than Robert.
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “Robert and Elaine ran around the high school track during gym class. robert ran 1/2 of the way around the track in 5/6 minute. Later in the ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers