A person travels from one place to another at 30 km/hr and returns at 120 km/hr. If the total time taken is 5 hours, then find the Distance.

Question: A person travels from one place to another at 30 km/hr and returns at 120 km/hr. If the total time taken is 5 hours, then find the Distance.

Solution:
Here the Distance is constant, so the Time taken will be inversely proportional to the Speed.
Ratio of Speed is given as 30 : 120 = 1 : 4

So the ratio of Time taken will be 4 : 1.
Total Time taken = 5 hours;
Time taken while going is 4 hours and returning is 1 hour.

Hence, Distance = 30 × 4 = 120 km