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Chapter 40: Problem 1173
Two cars are traveling 40 and 50 miles per hour, respectively. If the second car starts out 5 miles behind the first car, how long will it take the second car to overtake the first car?
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Two trackmen are running on a circular race track 300 feet in circumference. Running in opposite directions, they meet every 10 seconds. Running in the same direction, the faster passes the slower every 50 seconds. Find their rates in feet per second.
Two planes with speeds of 600 miles (in still air) each make a trip of 990 miles. They take off at the same time and fly in opposite directions. One has a head wind and the other a tail wind. The plane flying with a tail wind lands 20 minutes before the other plane. What is the wind velocity?
Two airfields \(\mathrm{A}\) and \(\mathrm{B}\) are 400 miles apart, and \(\mathrm{B}\) is due east of \(A\), A plane flew from \(A\) to \(B\) in 2 hours and then returned to \(\mathrm{A}\) in \((2) 1 / 2\) hours. If the wind blew with a constant velocity from the west during the entire trip, find the speed of the plane in still air and the speed of the wind.
A plane is heading in a direction \(45^{\circ}\) east of north and flying at an air speed (speed in still air) of 350 miles per hour. The wind is blowing in a direction \(10^{\circ}\) east of north at the rate of 70 miles per hour. Find the velocity (speed and direction) of the plane.
An airplane with an air speed of 300 miles per hour flies against a head wind, and flies 900 miles in 4 hours. What is the speed of the head wind?
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