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

20

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: sâ€™ = 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

Quantitative Aptitude – Arithmetic – Time, Speed and Distance – Q1: A motorbike leaves point A at 1 pm and moves towards point B at a uniform speed. A car leaves point B at 2 pm and moves towards point A at a uniform speed which is double that of the motorbike.

Quantitative Aptitude – Arithmetic – Time, Speed and Distance – Q2: Arun drove from home to his hostel at 60 miles per hour. While returning home he drove halfway along the same route at a speed of 25 miles per hour

Quantitative Aptitude – Arithmetic – Time, Speed and Distance – Q3: In a 10 km race. A, B,and C, each running at uniform speed, get the gold, silver, and bronze medals, respectively. If A beats B by 1 km and B beats C by 1 km, then by how many metres does A beat C?

Quantitative Aptitude – Arithmetic – Time, Speed and Distance – Q4 : A man travels by a motor boat down a river to his office and back. With the speed of the river unchanged, if he doubles the speed of his motor boat, then his total travel time gets reduced by 75%.

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Quantitative Aptitude – Arithmetic – Mixtures – Q2: Bottle 1 contains a mixture of milk and water in 7 : 2 ratio and Bottle 2 contains a mixture of milk and water in 9 : 4 ratio.

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