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trapecia [35]
3 years ago
12

Vehicles arrive at a recreational park booth at a uniform deterministic rate of 5 veh/min. If uniform deterministic processing o

f vehicles (collecting of fees) begins 20 minutes after the first arrival and the total delay is 3200 veh/min, how long after the arrival of the first vehicle will it take for the queue to be cleared?
Engineering
1 answer:
Natali5045456 [20]3 years ago
8 0

Answer:

The right solution is "32 min".

Explanation:

The given values are:

Total delay,

= 3200 veh/min

Deterministic rate,

= 5 veh/min

For 1st arrival, time taken

= 20 minutes

Now,

To be clear the queue, the time take will be:

= \frac{Total \ delay}{Deterministic \ rate\times (1st \ arrival \ time \ taken)}

On substituting the values in the above formula, we get

= \frac{3200}{5\times 20} \ min

= \frac{3200}{100}

= 32 \ min

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