Walking at $6/7$th of his usual speed a man is 25 minutes late. His usual time t

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Walking at $6/7$th of his usual speed a man is 25 minutes late. His usual time to cover this distance is

Options:

A . 2 hours 10 minutes

B . 2 hours 25 minutes

C . 2 hours 15 minutes

D . 2 hours 30 minutes

Answer: Option D
Answer: (d)Time and speed are inversely proportional.$7/6$ × Usual time - Usual time = 25 minutesUsual time $(7/6 -1)$= 25 minutesUsual time × $1/6$= 25 minutesUsual time = 25 × 6= 150 minutes= 2 hours 30 minutesUsing Rule 8,Here, A = 6, B = 7, t = $25/60 = 5/12$ hrs.Usual time = $\text"A"/\text"Diff of A and B"$ × time= $6/{(7 - 6)} × 5/12 = 5/2$ hrs.= 2 hours 30 minutes

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