Question

At an automatic car wash, cars arrive randomly at a rate of 7 every 30 minutes. the car wash takes exactly 4 minutes (this is constant). on average, how long would each car spend at the car wash?

Answer 1

On average, each car would spend 4 minutes at the car wash.

Step-by-step explanation:

To find the average time each car spends at the car wash, we need to calculate the average time between two successive arrivals at the car wash.

1. Given that cars arrive randomly at a rate of 7 every 30 minutes, we can find the average time between arrivals using the formula:
   Average time between arrivals = 30 minutes / 7 cars = 4.29 minutes per car
2. Since the car wash takes exactly 4 minutes for each car, the average time each car spends at the car wash is 4 minutes.

Therefore, on average, each car would spend 4 minutes at the car wash.