An airplane started its flight from point A towards point B at the same time as a helicopter started its flight from point B towards point A. When they meet, a helicopter flew 100 miles less than an airplane. After the meeting point, a helicopter needs 3 hours to reach point A, and an airplane needs 1 hour and 20 minutes to reach point B. Find the average speed of a helicopter and the distance between points A and B.
Answers
Answer:
read the problem, note
what numerical data is given,
and what is being asked for.
Two airplanes depart from an airport
simultaneously, one flying 100 km/hr
faster than the other. These planes travel
in opposite directions, and after 1.5
hours they are 1275 km apart.
Determine the speed of each plane.
2. Make a sketch, drawing, or
picture of the described
situation, and put all the given
data from the problem on the
drawing.
Look for what the problem’s
question is. In other words,
what do they want to know? In
this example, the problem asks
you to find the speed of each
plane.
Let x = the speed of one plane,
and y = the speed of the other.
3. Write down any numerical
relationships that the problem
gives you: Distance apart is
1275 km, time traveled is 1.5
hrs, and one plane is traveling
100 m/hr. faster than the other.
Let plane X be the faster plane.
4. Look for other information
(numbers, formulas, etc.) that
you can use to relate all the
items.
Distance = Rate • Time is the
formula you need in this case.
Distance traveled = Rate (or Speed) times
Time.
1275 km is the total of the distances
(added together) that each plan travels.
Travel time for each plane is the same, 1.5
hours; however, the planes’ speeds differ
by 100 km/hr.
Plan