Answer to Question #88469 in Algebra for SATWIK

Question #88469
A man walks to his office at 5 km/hr and then goes back on a rickshaw at 15 km/hr. Find the average speed for the whole journey
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Expert's answer
2019-04-23T12:21:30-0400

The average speed is v=2d/tv = 2 d / t, where dd is the distance to the office, and tt is the time of travel to the office and back. The walking speed is v0=5km/hrv_0 = 5 \, \text{km} / \text{hr}, and the rickshaw speed is 15km/hr=3v015\, \text{km} / \text{hr} = 3 v_0. Hence, the total travel time is t=d/v0+d/3v0=4d/3v0t = d/v_0 + d / 3 v_0 = 4 d / 3 v_0. From this, we find the average speed: v=2d/t=3v0/2=7.5km/hrv = 2 d / t = 3 v_0 / 2 = 7.5\, \text{km} / \text{hr}.


Answer: 7.5 km/hr


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