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It takes 10 hours for a person to travel a distance. If he reduces his speed by 20%, then what is the percentage increase in the time taken to cover the same distance?
Correct answer is '25'. Can you explain this answer?

Answers

Given
Let, speed be x km/hour.
It takes 10 hours to travel the distance.
That means total distance = 10x km
Latter speed =
x(100 – 20)/100 = 4x/5 km/hour
Time taken to cover the whole distance at this speed is 10x/(4x/5) = 12.5 hour
Time increase = (12.5 – 10) hours = 2.5 hours
Percentage increase in time taken =
(2.5/10) × 100 = 25%
Hence, the correct answer is 25%.

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It takes 10 hours for a person to travel a distance. If he reduces his speed by 20%, then what is the percentage increase in the time taken to cover the same distance?Correct answer is '25'. Can you explain this answer? for CAT 2023 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about It takes 10 hours for a person to travel a distance. If he reduces his speed by 20%, then what is the percentage increase in the time taken to cover the same distance?Correct answer is '25'. Can you explain this answer? covers all topics & solutions for CAT 2023 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for It takes 10 hours for a person to travel a distance. If he reduces his speed by 20%, then what is the percentage increase in the time taken to cover the same distance?Correct answer is '25'. Can you explain this answer?.
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GivenLet, speed be x km/hour.It takes 10 hours to travel the distance.That means total distance = 10x kmLatter speed =x(100 – 20)/100 = 4x/5 km/hourTime taken to cover the whole distance at this speed is 10x/(4x/5) = 12.5 hourTime increase = (12.5 – 10) hours = 2.5 hoursPercentage increase in time taken =(2.5/10) × 100 = 25%Hence, the correct answer is 25%.