man goes to his office from his house at a speed of 3 km/h and returns at a speed of 2 km/h.
If he takes 5 hours in going and coming, what is the distance between his house and office?
Answers
Answer:
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Step-by-step explanation:
Given:
Speed of man from house to office = 3 km/hr.
Speed of man from office to house = 2 km/hr.
Formula Used:
If an object covers a certain distance at x km/hr and an equal distance at y km/hr. the average speed of the whole journey = 2xy/(x + y) km/hr
Calculation:
Average speed = (2 × 3 × 2)/(2 + 3) = 12/5 km/hr.
Total time taken = 5 hr.
Distance travelled = (12/5) × 5 = 12 km
∴ Distance between his house and office = 12/2 = 6 km
Alternate Method
Ratio of speed = 3 : 2
⇒ Ratio of 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 × 3 = 6 km.
Answer: 6 km/jam yaaaaaaaaa