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Quantitative Aptitude

Solving Inequalities

Walking 7/8 t...

Question

Walking $\frac{7}{8}$ $^{t h}$ of his usual speed, a man is 24 minutes late. What is the usual time taken by him to cover that distance?

A

2hr 12 min

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B

2hr 30 min

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C

2hr24 min

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D

2hr 21 min

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E

2hr27 min

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Solution

The correct option is E
2hr27 min

New speed = 7/8 of usual speed

Speed and time are inversely proportional.

Hence new time = 8/7 of usual time

Hence, 8/7 of usual time - usual time = 24 minutes

=> 1/7 of usual time = 24 minutes

=> Usual time = 24 $\times$ 7 = 168 minutes = 2 hours 48 minutes

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