GATE EC 2017 Set 1 — Question 63
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Question
Trucks ( long) and cars ( long) go on a single lane bridge. There must be a gap of at least after each truck and a gap of at least after each car. Trucks and cars travel at a speed of . If cars and trucks go alternately, what is the maximum number of vehicles that can use the bridge in one hour?
Correct answer
(A) 1440
Solution
1.Speed .
2.Space occupied by one truck unit (length + gap) .
3.Space occupied by one car unit (length + gap) .
4.Since they go alternately, one cycle (Truck + Car) occupies .
5.Total distance covered by the stream in 1 hour () .
6.Number of cycles cycles.
7.Each cycle contains 2 vehicles (1 truck and 1 car). Total vehicles .
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