Correct option is D
Given:
A man walks to a viewpoint and returns by car.
Total time for this trip = 4 hours 45 minutes = 4.75 hours.
If he had driven both ways he would have saved 2 hours.
Find time to walk both ways (same walking speed).
Formula Used:
time = distance / speed
Solution:
Let one-way distance = D, walking speed = w, driving speed = v
Now,
D/w + D/v = 4.75 ..............(1)
2D/v = (D/w + D/v) − 2 ...................(2)
From second equation:
2D/v = 4.75 − 2 = 2.75 => D/v = 1.375 hours.
Substitute into first:
D/w + 1.375 = 4.75 => D/w = 4.75 − 1.375 = 3.375 hours.
Walking both ways time = 2 × (D/w) = 2 × 3.375 = 6.75 hours = 6 hours 45 minutes
Alternate Solution (short trick):
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