A person can walk a certain distance and drive back in six hours. He can also walk both ways in 10 hours. How much time will he take to drive both ways?
- ATwo hoursCorrect
- BTwo and a half hours
- CFive and a half hours
- DFour hours
Explanation
Let W be the time taken to walk one way and D be the time taken to drive one way.
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"A person can walk a certain distance and drive back in six hours." This means W + D = 6 hours. (Equation 1)
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"He can also walk both ways in 10 hours." This means W + W = 10 hours, or 2W = 10 hours. From this, W = 10 / 2 = 5 hours.
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Substitute the value of W (5 hours) into Equation 1: 5 + D = 6 D = 6 - 5 D = 1 hour.
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The question asks for the time taken to drive both ways. This is D + D, or 2D. 2D = 2 * 1 hour = 2 hours.
Therefore, he will take two hours to drive both ways.
Analyzing the options: A) Two hours: This matches our calculated value. B) Two and a half hours: Incorrect. C) Five and a half hours: Incorrect. D) Four hours: Incorrect.
The final answer is A.
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