A man goes to his office from his house at a speed of 3 km/hr and returns at a speed of 2 km/hr.
If he takes 5 hours in going and coming, what is the distance between his house and office?
3 km
4 km
5 km
6 km
Explanation:
Speed of House to Office is = 3 km/hr.
Speed of Office to House is = 2 km/hr.
Ratio of his speed = 3 : 2
Therefore, ratio of the time taken = 2 : 3
Since total time taken is 5 hours, he has taken 2 hours to travel to his office and 3 hours to come back.
Distance between his house and office
= 2 $ \times$ 3 = 6 km
Speed of House to Office is = 3 km/hr.
Speed of Office to House is = 2 km/hr.
Ratio of his speed = 3 : 2
Therefore, ratio of the time taken = 2 : 3
Since total time taken is 5 hours, he has taken 2 hours to travel to his office and 3 hours to come back.
Distance between his house and office
= 2 $ \times$ 3 = 6 km