Distance
Problems
There are several distance problems that
quadratic equations can solve. One of these types is ‘‘stream’’ problems: a
vehicle travels the same distance up and back where in one direction, the
‘‘stream’s’’ average speed is added to the vehicle’s speed and in the other,
the ‘‘stream’s’’ average speed is subtracted from the vehicle’s speed. Another
type involves two bodies moving away from each other where their paths form a
right angle (for instance, one travels north and the other west). Finally, the
last type is where a vehicle makes a round trip that takes longer in one
direction than in the other. In all of these types, the formula D = RT
is key.
Alfi Blog
April 23, 2026
Admin
Bandung Indonesia
Distance
Problems
There are several distance problems that
quadratic equations can solve. One of these types is ‘‘stream’’ problems: a
vehicle travels the same distance up and back where in one direction, the
‘‘stream’s’’ average speed is added to the vehicle’s speed and in the other,
the ‘‘stream’s’’ average speed is subtracted from the vehicle’s speed. Another
type involves two bodies moving away from each other where their paths form a
right angle (for instance, one travels north and the other west). Finally, the
last type is where a vehicle makes a round trip that takes longer in one
direction than in the other. In all of these types, the formula D = RT
is key.
Examples
The area of a triangle is 40 in2.
Its height is four-fifths the length of its base. What are its base and height?
The
area is 40 and H = ⅘B so the formula A = ½ BH becomes 40 = ½ B(⅘B).
Alfi Blog
April 22, 2026
Admin
Bandung Indonesia
Examples
The area of a triangle is 40 in2.
Its height is four-fifths the length of its base. What are its base and height?
The
area is 40 and H = ⅘B so the formula A = ½ BH becomes 40 = ½ B(⅘B).
Geometric
Problems
To solve word problems involving geometric
shapes, write down the formula or formulas referred to in the problem. For
example, after reading ‘‘The perimeter of a rectangular room . . . ’’ write P =
2L + 2W. Then fill in the information given about the formula. For example,
after reading ‘‘The peri- meter of the room is 50 feet . . . ’’ write P = 50
and 50 = 2L + 2W. ‘‘Its width is two-thirds its length.’’ Write W = ⅔ L and 50 = 2L + 2W becomes 50 = 2L + 2(⅔ L).
Alfi Blog
April 21, 2026
Admin
Bandung Indonesia
Geometric
Problems
To solve word problems involving geometric
shapes, write down the formula or formulas referred to in the problem. For
example, after reading ‘‘The perimeter of a rectangular room . . . ’’ write P =
2L + 2W. Then fill in the information given about the formula. For example,
after reading ‘‘The peri- meter of the room is 50 feet . . . ’’ write P = 50
and 50 = 2L + 2W. ‘‘Its width is two-thirds its length.’’ Write W = ⅔ L and 50 = 2L + 2W becomes 50 = 2L + 2(⅔ L).
Examples
An object is tossed up in the air at the rate
of 40 feet per second. How long will it take for the object to hit the ground?
Alfi Blog
April 20, 2026
Admin
Bandung Indonesia
Examples
An object is tossed up in the air at the rate
of 40 feet per second. How long will it take for the object to hit the ground?
Example
An object is dropped from the roof of a
60-foot building. How longbmust it fall to reach a height of 28 feet?
In
the formula h = –16t2
+ v0t + h0, h0 is 60 and v0 is zero (because the
object is dropped). The object reaches a height of 28 feet when h = 28.
Alfi Blog
April 19, 2026
Admin
Bandung Indonesia
Example
An object is dropped from the roof of a
60-foot building. How longbmust it fall to reach a height of 28 feet?
In
the formula h = –16t2
+ v0t + h0, h0 is 60 and v0 is zero (because the
object is dropped). The object reaches a height of 28 feet when h = 28.
