Mathematics:
Word math problems
Worksheets
Calculators
Flying
The airplane from Prague to Bratislava was flying at a speed of 60 km/h less and back by 70 km/h greater than the original speed. What was the original speed if the plane returned to Prague according to the timetable?
Correct answer:
v =
840
km/h
Step-by-step explanation:
s
/
(
v
−
6
0
)
+
s
/
(
v
+
7
0
)
=
2
s
/
v
1
/
(
v
−
6
0
)
+
1
/
(
v
+
7
0
)
=
2
/
v
v
(
v
+
7
0
)
+
v
(
v
−
6
0
)
=
2
⋅
(
v
+
7
0
)
(
v
−
6
0
)
1
0
v
=
8
4
0
0
v
=
8
4
0
0
/
1
0
=
8
4
0
=
8
4
0
km/h
Equation is non-linear.
Calculation:
Equation is linear and have one solution:
-10v+8400=0
x=840
Our simple
equation calculator
calculates it.
Try another example
Did you find an error or inaccuracy? Feel free to
write us
. Thank you!
Text - write and change what you want:
The airplane from Prague to Bratislava was flying at a speed of 60 km/h less and back by 70 km/h greater than the original speed. What was the original speed if the plane returned to Prague according to the timetable?
Your e-mail:
Thank you for submitting an example text correction or rephasing. We will review the example in a short time and work on the publish it.
Tips for related online calculators
Looking for calculator of
harmonic mean
?
Looking for a
statistical calculator
?
Are you looking for help with
calculating roots of a quadratic equation
?
Do you have a linear equation or system of equations and looking for its
solution
? Or do you have
a quadratic equation
?
Do you want to
convert velocity (speed) units
?
Do you want to
convert time units
like minutes to seconds?
You need to know the following knowledge to solve this word math problem:
statistics
harmonic mean
algebra
quadratic equation
equation
expression of a variable from the formula
Units of physical quantities:
velocity
time
Themes, topics:
motion problems
Grade of the word problem:
practice for 13 year olds
practice for 14 year olds
high school
Related math problems and questions:
Domains of functions
F(x)=x²-7x and g(x)=5-x² Domain of (fg)(x) is. .. . . The domain of (f/g)(x). ..
Circle
From the equation of a circle: -x² -y² +16x -4y -59 = 0 Calculate the coordinates of the center of the circle S[x
0
, y
0
] and the radius of the circle r.
Hypotenuse and height
In a right triangle is length of the hypotenuse c = 56 cm and height h
c
= 4 cm. Determine the length of both triangle legs.
Euclid1
The right triangle has hypotenuse c = 27 cm. How large sections cuts height h
c
=3 cm on the hypotenuse c?
Resistors
Two parallel resistors connected in series give the resulting resistance $R1Ω and $R2Ω. Determine the resistance of these resistors.
Pool
If water flows into the pool by two inlets, fill the whole for 20 hours. The first inlet filled the pool 8 hour longer than the second. How long does the pool take to fill with two inlets separately?
Factors
Can the expression 4x ² -47.6x +39.6 be factored into rational factors?
Equation
Equation f(x) = 0 has roots x
1
= 64, x
2
= 100, x
3
= 25, x
4
= 49. How many roots have equation f(x²) = 0?
Pumps
The tank is filled with two pumps in 16 minutes. The first pump is filled in 30 minutes earlier than the second one. How many minutes is filled with the first pump?
Biquadratic
By introducing a new variable, solve the biquadratic equation: - x
4
+277 x² -15876=0
Quadratic equation
Determine the numbers b and c that the numbers x
1
= -7 and x
2
= 5 were roots of the quadratic equation: -3x ² + b x + c = 0
Rectangle SS
The perimeter of a rectangle is 268 cm, and its diagonal is 99.3 cm. Determine the dimensions of the rectangle.
A right 3
A right triangle has a perimeter of 300 cm . its hypotenuse is 130cm. What are the lengths of the other sides .
No problem
No problem; here are five decimal addition problems for you to practice: 1. What is the result of 3.5 + 2.1? 2. What is the result of 0.8 + 0.3? 3. What is the result of 5.2 + 1.7? 4. What is the result of 2.5 + 0.9? 5. What is the result of 1.4 + 0.6? I
Vertex of the rectangle
Determine the coordinates of the vertex of the rectangle inscribed in the circle x²+y² -2x-4y-20=0 if you know that one of its sides lies on the line p: x+2y=0
Decadic number
What is the expanded form of this number? 18.029 A: (1x10)+(8x1)+(2x1/10)+(9x1/100) B: (1×10)+(8×1)+(2×1/10)+(9×1/1,000) C: (1×10)+(8×1)+(2×1/100)+(9×1/1,000) D: (1×10)+(8×1)+(2×11/00)+(9×1/100)
Quadratic equation - Viets
In the equation 3x²+bx+c=0, one root is x1 = -3/2. Determine the number c so that the number 4 is the root of the equation. Hint - use Viet's formulas.
all math problems
18652
algebra
5512
quadratic equation
545
equation
290
expression of a variable from the formula
214
system of equations
132
Pythagorean theorem
104
triangle
98
area of a shape
98
right triangle
95
square root
67
reason
64
arithmetic
4187
basic functions
5880
combinatorics
999
geometry
3056
goniometry and trigonometry
559
numbers
6172
physical quantity
6341
planimetrics
3379
solid geometry
2283
statistics
771
themes, topics
3007
New math problems
Popular math problems
Harder math problems
The easiest word problems
Language
sk
cz
en