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If the normal flows on two approach roads at an intersection are respectively 500 pcu per hr and 300 pcu per hr, the saturation flows are 1600 pcu per hr on each road and the total lost time per signal cycle is 16 s, then the optimum cycle time by Webster’s method is
  • a)
    72.5 s
  • b)
    58 s
  • c)
    48 s
  • d)
    19.3 s
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
If the normal flows on two approach roads at an intersection are respe...
Optimum cycle time,

L = Total lost time per cycle = 16 sec 
Y = y1 + y2

∴ 
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Most Upvoted Answer
If the normal flows on two approach roads at an intersection are respe...
The optimum cycle time by Webster's method can be calculated using the formula:

Cycle Time = (2 + (Lost Time / Saturation Flow)) * (Total PCU / (Flow Road 1 + Flow Road 2))

Given:
Flow Road 1 = 500 pcu/hr
Flow Road 2 = 300 pcu/hr
Saturation Flow = 1600 pcu/hr
Lost Time = 16 s

Total PCU = Flow Road 1 + Flow Road 2 = 500 pcu/hr + 300 pcu/hr = 800 pcu/hr

Substituting the values into the formula:

Cycle Time = (2 + (16 s / 1600 pcu/hr)) * (800 pcu/hr / (500 pcu/hr + 300 pcu/hr))

Cycle Time = (2 + 0.01) * (800 pcu/hr / 800 pcu/hr)

Cycle Time = 2.01 * 1

Cycle Time = 2.01 hours

Therefore, the optimum cycle time by Webster's method is 2.01 hours.
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If the normal flows on two approach roads at an intersection are respectively 500 pcu per hr and 300 pcu per hr, the saturation flows are 1600 pcu per hr on each road and the total lost time per signal cycle is 16 s, then the optimum cycle time by Webster’s method isa)72.5 sb)58 sc)48 sd)19.3 sCorrect answer is option 'B'. Can you explain this answer? for Civil Engineering (CE) 2025 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about If the normal flows on two approach roads at an intersection are respectively 500 pcu per hr and 300 pcu per hr, the saturation flows are 1600 pcu per hr on each road and the total lost time per signal cycle is 16 s, then the optimum cycle time by Webster’s method isa)72.5 sb)58 sc)48 sd)19.3 sCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the normal flows on two approach roads at an intersection are respectively 500 pcu per hr and 300 pcu per hr, the saturation flows are 1600 pcu per hr on each road and the total lost time per signal cycle is 16 s, then the optimum cycle time by Webster’s method isa)72.5 sb)58 sc)48 sd)19.3 sCorrect answer is option 'B'. Can you explain this answer?.
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