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Answer :
It will take 11 seconds for the faster runner to catch the slower runner if they begin at the same time.
We have,
To find out how long it will take for the faster runner to catch the slower runner, you can set up an equation based on the relative speeds and the initial head start.
Let t represent the time it takes for the faster runner to catch the slower runner.
Distance traveled by the slower runner in t seconds = 6t meters
Distance traveled by the faster runner in t seconds = 11t meters
Since the slower runner had a 55-meter head start, we can set up the equation:
Distance traveled by the slower runner + Head start distance = Distance traveled by the faster runner
6t + 55 = 11t
Now, solve for t:
55 = 11t - 6t
55 = 5t
Now, divide both sides by 5:
t = 55 / 5
t = 11
Thus,
It will take 11 seconds for the faster runner to catch the slower runner if they begin at the same time.
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