A man walks 450 m at an average speed of 3 m/s. How long is he walking for?
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Given:
Speed1 = 8 km/h
Time1 = 4 h
Speed2 = 12 km/h
Time2 = 4 h
Concept used:
If A travels with speed x km/h for t1 h and with speed y km/h for t2 h, then
Average speed = (xt1 + yt2)/(t1 + t2)
1 km/h = (5/18) m/s
Calculation:
Here, x = 8 km/h, y = 12 km/h, t1 = 4 h, and t2 = 4 h
Average speed = (xt1 + yt2)/(t1 + t2)
⇒ Average speed = [(8 × 4) + (12 × 4)]/(4 + 4)
⇒ Average speed = 80/8 = 10 km/h
⇒ 10 × (5/18) m/s = (25/9) m/s
∴ The average speed of man is (25/9) m/s.
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