Quantitative Aptitude – Arithmetic – TSD – A man leaves his home
Quantitative Aptitude – Arithmetic – Time, Speed and Distance
Question
A man leaves his home and walks at a speed of 12 km per hour, reaching the railway station 10 minutes after the train had departed. If instead he had walked at a speed of 15 km per hour, he would have reached the station 10 minutes before the train’s departure. The distance (in km) from his home to the railway station is
Answer
20
Solution
As per the question from CAT 2017 – Quantitative Aptitude – Arithmetic – Time, Speed and Distnace, we can see that,
Speed in first case: s
Speed in second case: s’ = 5s/4
We know that, time is inversely proportional with speed
Therefore, the time would be 4/5 times the time, i.e., 1/5 less. This one fifth is 20 min. Therefore, the time taken in the first case is 100 min.
The distance = 12*(5/3) = 20 km
Answer: 20
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