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Answer :
To find the time in hours when the runners will be side by side, use the equation 4t = 6(t-0.5) where t represents the time in hours after Runner A started.
To determine the time in hours, t, at which Runner A and Runner B will be side by side, one must first note that Runner A starts 30 minutes earlier and runs at 4 miles per hour. Runner B, starting 30 minutes (0.5 hours) later, runs at 6 miles per hour. To find when they will be side by side, we set up an equation where the distance covered by Runner A (4t) equals the distance covered by Runner B (6(t-0.5)).
Step-by-Step Solution:
- Let the time Runner A runs be t hours.
- Since Runner B starts 0.5 hours later, the time Runner B runs is t-0.5 hours.
- Distance = Speed * Time, so the distance Runner A covers is 4t.miles, and the distance Runner B covers is 6(t-0.5) miles.
- Set the distances equal to find when they are side by side: 4t = 6(t-0.5).
- Solve the equation for t to find the time at which they will be at the same point.
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Answer:
4t = 6(t - 1/2)
Step-by-step explanation:
For Runner A, the expression is 4t since this runner's rate is 4 mph. For Runner B, the expression is 6(t - 1/2) since Runner B starts 1/2 hour after Runner A, and this runner's rate is 6 mph. Set these two expressions equal to each other.
