Discussion
A man takes 6 hours and 15 minutes in walking a distance and riding back to starting place. He could walk both ways in 7 hours and 45 minutes. The time taken by him to ride back both ways is:
Answer: D
Riding both ways takes 4 hours 45 minutes.
Let one walk take \(w\) and one ride take \(r\). In minutes:
\[ \begin{aligned} w + r &= 375 \\ 2w &= 465, \quad w = 232.5 \\ r &= 375 - 232.5 = 142.5 \\ 2r &= 285\ \text{min} = 4\ \text{h}\ 45\ \text{min} \end{aligned} \]
A shortcut: riding both ways saves, compared with walking both ways, twice the difference saved on one leg. Walking both ways takes 1 h 30 min more than walk-plus-ride, so riding both ways takes 1 h 30 min less: 6 h 15 min − 1 h 30 min = 4 h 45 min. The other options do not satisfy both conditions.
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