Cars travelling to the George Washington Bridge from New Jersey to New York City

ID: 3358846 • Letter: C

Question

Cars travelling to the George Washington Bridge from New Jersey to New York City must pay a toll. About 38 percent of the commuters use E-ZPass, which registers the toll E-ZPass customers go quickly through the toll area averaging a wait time of 30 seconds because of the need to slow down. However, pay ing customers must queue up at the cash booths. They require an average service time of seconds each with a standard deviation of 10 seconds. If cars are arriving to te and there are 3 cash toll booths, what is the toll area at an average rate of 8 per the ratio of total time in the system for E-Z s versus cash commuters?

46.) Cars travelling to the George Washington Bridge from New Jersey to New York City must pay a toll. About 38 percent of the commuters use E-ZPass, which registers the toll to their account electronically. E-ZPass customers go quickly through the toll area averaging a wait time of 30 seconds because of the need to slow down. However, pay ing customers must queue up at the cash booths. They require an average service time of twenty seconds each with a standard deviation of 10 seconds. If cars are arriving to the toll area at an average rate of 8 per minute and there are 3 cash toll booths, what is the ratio of total time in the system forE-ZPass commuters versus cash commuters?

Explanation / Answer

Answer to the question:

38Percent go through EZ pass

Waiting time : 30 seconds

So in a minute 8 cars come

38% of 8 = 3.04 ~ 3 cars got to EZ pass ,

total time of EZ pass = 30 seconds * 3 cars = 90 seconds

Now for rest of the five commuters

Since there aeach cash booth takes 20 seconds on an average

the average time for these 5 commuters will be ; 20 +20 = 40

[3 commuters can be assisted in the initial 20 seconds because there are 3 cash booths , and the remaing 2 can be assisted in the next 20 secs]4.

Thus ratio of EZ pass by Cash commuters = 90 /40 = 2.25

Navigate

Cars traveling from Canada to the United States through the Thousand Islands Bor

Cars.com would like to use simple regression to predict the selling price of a u

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.

Cars travelling to the George Washington Bridge from New Jersey to New York City

Question

Explanation / Answer

Related Questions

Navigate