Helllpppppp meee plzzzz
1 answer:
If we make a table out of this info, we would have rows being cyclist 1 and cyclist 2, with columns being distance, rate, and time. Working with cyclist 1. He is traveling at a rate of r. He meets cyclist 2 after 2 hours, so his time is 2. If distance = rate*time, then the distance he travels towards cyclist 2 is 2r. Now on to cyclist 2. His rate is 3 km per hour slower, so his rate is r-3. He meets cyclist 1 after 2 hours, so his time is also 2. If distance = rate*time, then the distance he travels towards cyclist 1 is 2(r-3). Because they are traveling towards each other on the same path and meet at a certain point, together they have traveled the whole 94 km. That means that the distance cyclist 1 travels + the distance that cyclist 2 travels = 94. The bolded equations are the distances that each cyclist traveled. We add them: 
. Using the distributive property, 2r + 2r - 6 = 94. And 4r = 100. r = 25. That means that cyclist 1 is traveling at a rate of 25 km per hour, and cyclist 2 is going 3 km per hour slower at 22 km per hour.
You might be interested in
Answer:
The total length of the board is 78 ft.
The number of pieces of wood for porch cut from the boards be 34 .
Total length of left 10 pieces that were left from each board after he cut the 2.25 ft long boards be 10.5 ft .
Step-by-step explanation:
Case (a)
As given
Ari has 10 boards that are each 7.8 ft long.
Total length of board = Total number of board × Length of each board
Putting the values in the above
Total length of board = 10 × 7.8
= 78 ft
Therefore the total length of the board is 78 ft.
Case (b)
As given
Each piece of wood for the porch has to be 2.25 ft long.
Total length of the 10 board = 78 ft
Let us assume that the number of piece of wood for porch cut from board be x.
Than the equation becomes
2.25 × x = 78
x = 34.7 (Approx)
Thus
x = 34
Therefore the number of pieces of wood for porch cut from the boards be 34 .
Case (c)
As given
As the length of the one board be 7.8 ft and the length of the each piece of wood for porch is 2.25 ft .
Let us assume that the number of piece of wood for porch cut from one board be y .
Than the equation becomes
y × 2.25 = 7.8
y = 3.5 (Approx)
y = 3
Thus the number of piece of wood for porch cut from one board be 3 .
Than
Length of piece left after cutting 2.25 ft piece of wood from each board = Length of each boards - Number of pieces of wood × Length of each pieces of wood.
Length of piece left after cutting 2.25 ft piece of wood from each board = 7.8 - 3 × 2.25
= 7.8 - 6.75
= 1.05 ft
Thus
Total length of left 10 pieces = 10 × Length of piece left after cutting 2.25 ft piece of wood from each board
= 10 × 1.05
= 10.5 ft
Therefore total length of left 10 pieces that were left from each board after he cut the 2.25 ft long boards be 10.5 ft .
Answer:
Step-by-step explanation:
has solutions of
and
, which expands to