Question

The total effective green time required for an intersection is \(40\) seconds, and total lost time per cycle is \(20\) seconds. The cycle length is

• A. \(40\) seconds
• B. \(50\) seconds
• C. \(60\) seconds
• D. \(80\) seconds

Hint:

Traffic signal cycle: \[ \boxed{ \text{Cycle Length} = \text{Effective Green Time} + \text{Lost Time} } \]

Answer 1

The Correct Option is C

Step 1: Think of a signal cycle as two parts.
Every signal cycle is made up of time that is actually useful for moving traffic (effective green) and time that is wasted while vehicles start up, clear the intersection, or wait during the change interval (lost time).
Step 2: Add the two parts to get the full cycle. \[ C = G + L \]
where $G$ is the total effective green time and $L$ is the total lost time per cycle.
Step 3: Substitute the given numbers. \[ C = 40 + 20 = 60\,\text{seconds} \]
\[ \boxed{60\ \text{seconds}} \]