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?
Correct answer: D. 6 km
- A. 3 km
- B. 4 km
- C. 5 km
- D. 6 km
Explanation
If the one-way distance is d km, the total time is d/3 hours + d/2 hours = 5 hours. Thus 5d/6 = 5, so d = 6 km. The common wrong choice is 5 km, which treats the given total time as though one speed applied to the whole journey.
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About Time, Speed and Distance
Problems relate distance, speed and time through the formula distance = speed × time, including unit conversion, average speed, relative speed and motion in opposite or the same direction. Questions may involve trains, boats and streams, where the effective speed changes, so average speed must not be confused with the simple average of two speeds.
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