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Alok walks to a viewpoint and returns to the starting point by his car and thus takes a total time of 6 hours 45 minutes. He would have gained 2 hours by driving both ways. How long would it have taken for him to walk both ways?
  • a)
    8 h 45 min
  • b)
    7 h 45 min
  • c)
    5 h 30 min
  • d)
    6 h 45 min
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Alok walks to a viewpoint and returns to the starting point by his car...
Since he gains 2 hours by driving both ways (instead of walking one way) the time taken for driving would be 2 hours less than the time taken for walking.
Hence, he stands to lose another two hours by walking both ways.
Hence his total time should be 8 hrs 45 minutes.
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Community Answer
Alok walks to a viewpoint and returns to the starting point by his car...
Given:
Total time taken by Alok = 6 hours 45 minutes = 6.75 hours
Time saved by driving both ways = 2 hours

To find:
Time taken to walk both ways

Approach:
Let's assume that the time taken to drive one way is x hours.
Since Alok takes a total of 6.75 hours, the time taken to drive one way must be (6.75 - x) hours.

Alok gains 2 hours by driving both ways, which means the total time taken to drive both ways is 2 hours less than the total time taken to walk both ways.

Calculation:
The total time taken to walk both ways = 2 * (6.75 - x)
The total time taken to drive both ways = 2 * x

According to the given information, the total time taken to drive both ways is 2 hours less than the total time taken to walk both ways. So, we can write the equation as:
2 * x = 2 * (6.75 - x) - 2

Simplifying the equation:
2x = 2(6.75 - x) - 2
2x = 13.5 - 2x - 2
4x = 11.5
x = 2.875 hours

Converting hours to minutes:
x = 2.875 * 60 = 172.5 minutes

Therefore, the time taken to walk both ways is:
2 * (6.75 - x) = 2 * (6.75 - 2.875) = 2 * 3.875 = 7.75 hours

Converting hours to minutes:
7.75 hours = 7 hours 45 minutes

Hence, the correct answer is option 'A' - 8 hours 45 minutes.
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