To Pittsburgh: D¼ 2 ðx 16 Þ
¼ 2 ð 112 16 Þ
¼ 2 ð 96 Þ
¼192 miles
Try These
- A plane flies from New Eagle to North Oak in 3 hours and returns in
4 hours. If the speed of the wind is 25 miles per hour and it is blow-
ing in the direction of North Oak from New Eagle, find the airspeed
of the plane. - If a boat travels upstream from point A to point B in 2^12 hours and
returns downstream from point B to point A in 2 hours, find the speed
of the boat (on its speedometer) if the current is 3 miles per hour. - If a plane flies from Mount Pleasant to Waltersville in 5 hours with a
headwind of 25 miles per hour and returns in 4 hours with a tailwind
of 20 miles per hour, find the airspeed of the plane. - A boat’s speed on its speedometer reads 18 miles per hour going
downstream, and it reaches its destination in 1.25 hours. The return
trip takes 1.75 hours at 18 miles per hour on the speedometer. Find the
speed of the current. - A plane flies in a headwind of 22 miles per hour from East Grove to
Uniontown in 6 hours and returns in 4 hours with a tailwind of 22
miles per hour. Find the distance between the airports.
SOLUTIONS:
- Letx¼the airspeed of the plane
Rate Time ¼ Distance
To North Oak xþ 25 3 3(xþ25)
To New Eagle x 25 4 4(x25)
LESSON 13 Solving Distance Problems 143