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Answer :
Final answer:
The second runner will overtake the first runner 3 hours after the second runner started, calculated by setting equal distances traveled by both runners and solving the resulting equation.
Explanation:
To determine how long after the second runner started will they overtake the first runner, we'll set up an equation based on the distances they travel. When the second runner catches up, both will have covered the same distance, but the first runner had a half-hour head start.
Step-by-step Solution:
Let t be the time in hours that the second runner runs for.
The first runner runs for t + 0.5 hours (because they started a half hour earlier).
The distance for the first runner is 6mph * (t + 0.5).
The distance for the second runner is 7mph * t.
Set these distances equal to each other because the second runner catches up at this point: 6(t + 0.5) = 7t.
Solve the equation: 6t + 3 = 7t, which simplifies to t = 3 hours.
Therefore, the second runner will overtake the first runner 3 hours after the second runner started.
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Rewritten by : Barada
9 hours long after the second runner started will the second runner overtake the first runner.
What does it mean to do speed?
- Speed is the time rate at which an object is moving along a path, while velocity is the rate and direction of an object's movement.
- Put another way, speed is a scalar value, while velocity is a vector.
Runner I = 6 mph
Runner II = 7 mph
Difference in time= 90 minutes
Train A will have covered 9 miles before Runner II starts
catch up distance= 9 miles
catch up speed = 7-6 mph
catch up speed = 1 mph
Catchup time = catchup distance/catch up speed
catch up time= 9/1
catch up time= 9 hours
Learn more about speed
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