GATE CE 2026 Set 1 — Question 33
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Transportation Engineering → Traffic Studies & Flow → Speed Studies
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Question
The travel times of three vehicles on a km stretch of road are , , and minutes. Assuming the speed of each vehicle to be constant in this stretch, the Space Mean Speed (in km/h) of the vehicles is ___________ (rounded off to two decimal places).
Correct answer
20 to 21.9
Solution
Space Mean Speed () is defined as the harmonic mean of the spot speeds, or equivalently, the total distance traveled by all vehicles divided by the total time taken.where:
(number of vehicles)
km (length of the stretch)
min, min, minTotal travel time in hours:Total distance for vehicles:Space Mean Speed:Rounding off to two decimal places, we get km/h.
(number of vehicles)
km (length of the stretch)
min, min, minTotal travel time in hours:Total distance for vehicles:Space Mean Speed:Rounding off to two decimal places, we get km/h.
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