CAT Question > It takes 10 hours for a person to travel a d...

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?

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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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%.