Speed Time Distance Questions : Relative Speeds and Time taken : Ascent CAT Coaching Classes, Correspondence Course

Question 4 the day : June 18, 2003
The question for the day is from the topic Time and Distance. The question helps get a good grasp on the concept that time is inversely proportional to speed.

Question
By walking at 3/4^th of his usual speed, a man reaches office 20 minutes later than usual. What is his usual time?

1. 30 min
2. 60 min
3. 70 min
4. 50 min

Correct Answer is 60 min. Choice (2) is right.

Explanatory Answer

3/4 of a man's usual speed means, he takes 4/3 of his usual time to cover the same distance, i.e. he takes 4/3 - 1 = 1/3 time extra.

1/3 time is 20 minutes (given)

Usual time = 20 * 3 = 60 minutes.

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Algebra, Arithmetic & Geometric Progressions, Averages and Mean, Clocks and Calendars, Data Sufficiency, English Grammar, Function, Geometry, Coordinate Geometry, Mensuration, Trigonometry, Interest, Inequality, Mixtures & Alligations, Number System and Theory, Percentages, Profit & Loss, Permutation & Combination, Probability, Ratio, Proportion, Set Language and Theory, Speed, Time & Distance, Races, Pipes & Cisterns And Work & Time, Miscellaneous, General Knowledge.