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A Bus Driver Follows a Morning Route and an Afternoon

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A bus driver follows a morning route and an afternoon route each day. Because there are more cities on the morning route, the average speed is 12 miles per hour less than the afternoon route.
She covers 70 miles on the morning route in the same amount of time as she covers 100 miles on the Afternoon route. Find her average speed on the afternoon route.


Definitions:

M/M/1 Model

is a type of queueing model used in operations research to describe systems with a single server, where arrivals are determined by a Poisson process and service times have an exponential distribution.

First Customers

The initial group of buyers or users who purchase or adopt a product or service shortly after its launch.

Independent Arrival

The concept in queueing theory where the arrival of customers or entities is not influenced by previous arrivals.

Large Population

Refers to a substantial number of units or individuals within a specified area or group, often used in statistical analysis and sampling.

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