What is the rate of increase in waiting time

Assignment Help Mathematics

Reference no: EM131010280

Automobile traffic passes a point P on a road of width w ft at an average rate of R vehicles per second. Although the arrival of automobiles is irregular, traffic engineers have found that the average waiting time T until there is a gap in traffic of at least t seconds is approximately T = teRt seconds. A pedestrian walking at a speed of 3.5 ft/s requires t = w/3.5 s to cross the road. Therefore, the average time the pedestrian will have to wait before crossing is f(w, R) = (w/3.5)ewR/3.5 s. (Round your answers to one decimal place.)

(a) What is the pedestrian's average waiting time if w = 25 ft and R = 0.36 vehicle per second?

(b) Use the linear approximation to estimate the increase in waiting time if w is increased to 26 ft.

(c) Estimate the change in waiting time if the width is increased to 27 ft and R decreases to 0.35. s What is the new estimated waiting time?

(d) What is the rate of increase in waiting time per 1-ft increase in width when w = 30 and R = 0.32 vehicle per second?

Reference no: EM131010280

Questions Cloud

Prepared to make equal annual deposits into the account : You want to have $78,000 in your savings account 12 years from now, and you’re prepared to make equal annual deposits into the account at the end of each year. If the account pays 6.80 percent interest, what amount must you deposit each year?

Common stock is expected to pay a dividend : Crisp Cookware’s common stock is expected to pay a dividend of $3 a share at the end of this year (D1 =$3.00); its beta is 0.8; the risk-free rate is 5.2%; and the market risk premium is 6%. The dividend is expected to grow at some constant rate g, a..

Firms current management is called a management buyout : A buyout involving the target firm’s current management is called a management buyout. In what way do these type of deal represent agency conflicts between managers and shareholders? What board procedures can be put in place to mitigate such conflict..

Determine bypass surgery plus cell injections : After bypass surgery and cell injections, this improved to 36 percent, although it was impossible to say how much, if any, of the new strength resulted from the extra cells." Explain why it is not reasonable to generalize to the population of ..

What is the rate of increase in waiting time : Estimate the change in waiting time if the width is increased to 27 ft and R decreases to 0.35. What is the rate of increase in waiting time per 1-ft increase in width when w = 30 and R = 0.32 vehicle per second?

What is the present worth equivalent cost to the contractor : A grader costs $350,000 to purchase and is expected to have a useful life of 8 years. Annual operating and maintenance costs are estimated to be $35,000 per year, and the salvage value after 8 years of use is estimated to be $50,000. At an interest r..

Eurodollar futures contract traded : On January 29, 2016 your group sells ten June 2016 Eurodollar futures contract traded on GLOBEX. If you plan to close out the position in March, what would the futures price (i.e the quote) of the June 2016 Eurodollar futures contract have to be in M..

Futures contracts of a specific commodity traded on globex : Assume that on January 27, 2016, using news from any source you instruct your broker to take either a Long or a Short position in two (2) June (or July) futures contracts of a specific commodity traded on GLOBEX. Examples are Corn, Crude Oil, Live ca..

Explain why a placebo group was used in this experiment : The study involved 205 patients who were given either a treatment consisting of a combination of folic acid, vitamin B12, and vitamin B6 or a placebo for 6 months. Explain why a placebo group was used in this experiment.

User Account

All Pages