A car rental company is located three miles from the airport. A shuttle bus runs

Question

A car rental company is located three miles from the airport. A shuttle bus runs every two minutes on average doing a round trip between the airport and the rental company. The average round trip time is 20 minutes. So the average time for a customer to go from the airport to the rental company is 11 minutes (1 minute wait, plus ten minutes of travel).

An executive argues that if the shuttle runs twice every minute (30 seconds apart on average), the average time (wait + travel) from the airport to the rental company would be one quarter of 11 minutes.

In reality, what is the new average time (wait + travel)?

Explanation / Answer

The executive claim is false.

It takes 10 minutes of run in every bus and one minute time for waiting, Whatever the periodicity of time between two buses is used. This time cannot be changed.

His argument is baseless , one quarter of 11 is 2.75 minutes. The time to to travel and waiting is 2.75 minutes is impossible under the given condition.

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