# CAT Quantitative Aptitude Questions | CAT Time Speed and Distance & Races

###### CAT Questions | Time and distance | Speed Time

The question is from the topic time and distance. The time taken with new and old speed is given and we need to find out the distance. Time Speed and Distance is a favorite in CAT Exam, and appears more often than expected in the CAT Quantitative Aptitude section in the CAT Exam

Question 20: When Sourav increases his speed from 20 Km/hr to 25 Km/hr, he takes one hour less than the usual time to cover a certain distance. What is the distance usually covered by him?

1. 125 km
2. 100 km
3. 80 km
4. 120 km

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##### Method of solving this CAT Question from Time Speed Distance: Knowing the relationship between speed and distance would help.

Here, the distance travelled by Sourav is constant in both the cases.
So,20 * t = 25 * (t-1) = D
=> 20t = 25t - 25
=> 5t = 25
=> t = 5 hrs So, Distance travelled = 20 * 5 = 100 Km.

The question is "What is the distance usually covered by him?"

##### Hence, the answer is 100 km

Choice B is the correct answer.

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