The vehicle passes 1 km length of road in 1 min, 2 min and 3 min time respectively. Find time mean speed and space mean speed.

We know that,

Speed = Distance/Time

For 1st vehicle,

V1 = 1 km/1 min

V1 = 1 km/1/60 hr

V1 = 60 km/hr

For 2nd vehicle,

V2 = 1 km/2 min

V2 = 1 km/2/60 hr

V2 = 30 km/hr

For 3rd vehicle,

V3 = 1 km/3 min

V3 = 1 km/3/60 hr

V3 = 20 km/hr

1. Time-men speed (Vt)

Vt = ∑Vi/n

Vt = (60 + 30 + 20)/3

Vt = 110/3

Vt = 36.7 km/hr

2. Space-men speed (Vs)

fi/vi = 1/60 + 1/30 + 1/20 = 0.10

Vs = n/(∑fi/vi)

Vs = 3/0.10

Vs = 30 km/hr

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