Okay.. after getting a big packet at the start of the semester, I'm down to 3 problems out of 279 that I have no clue how to do. Please help, I want to know what I'm doing wrong with these equations, so if you can please posts step by step work with explanations.
Suppose you are flying an ultra-light aircraft. You fly to a nearby tonw, 18 miles away. With a tail wind, the trip takes 1/3 hour. Your return flight with head wind takes 3/5 hour.
A. Find the average airspeed of the ultra-light aircraft
B. Find the average wind speed.
A family is canoeing downstream (with the current). Their speed relative to the banks of the river averages 2.75 mi/h. During the return trip, they paddle upstream (against the current), averaging 1.5 mi/h relative to the riverbank.
A. Write an equation for the rate of the canoe downstream.
B. Write an equation for the rate of the canoe upstream.
C. Solve the system to find the family's paddling speed in still water.
D. Find the speed of the current of the river
John Flies from Atlanta, Georgia, to San Francisco, California. It takes 5.6 hours to travel 2100 miles against the head wind. At the same time, Debby flies from San Francisco to Atlanta. Her plane travels with the same average airspeed, but with a tail wind, her flight takes only 4.8 hours.
A. Write a system of equations that reltaes time, airspeed, and wind speed to distance for each traveler.
B. Solve the system to find the airspeed.
C. Find the wind speed.
Please help, I was absent when teach taught this, so I'm drawing up a blank with all my wrong equations.