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:
Number
Is number 5.146852 irrational?
Transforming cuboid
A cuboid with dimensions 6 cm, 10, and 11 cm is converted into a cube with the same volume. What is its edge length?
The median 2
Here is a list of numbers: 9.9, 5.9, 3.6, 6.2, 8.9, 0.7, 4.4, 6.7, 9.9, 0.7 State the median. Give your answer as a decimal.
A population
A population of fish starts at 8,000 and decreases by 6% per year. Use an exponential function to find the population of fish in 10 years.
The mean 2
The mean cost of 4 items was $39.96. The first item cost $28.50, the second item cost $41.25, and the third item cost $50. Find the cost of the fourth item.
Correct mean and CV
For a group of 100 students, the mean and coefficient of variation of their marks were found to be 60 and 25, respectively. Later, it was found that the scores 45 and 70 were wrongly entered as 40 and 27. Find the corrected mean and coefficient of variati
The capacitor
The parallel square plates of a 4.5µF Teflon capacitor are 3.2 mm apart. What is the area of the plate?
IQ scores
IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. What percentage of the population scores higher than 125 on an IQ test?
Isosceles 83157
Using the cosine theorem, prove that in an isosceles triangle ABC with base AB, c=2a cos α.
Sides ratio and angles
In triangle ABC, you know the ratio of side lengths a:b:c=3:4:6. Calculate the angle sizes of triangle ABC.
The enrolment 2
The enrolment at a school has increased from 1400 learners to 1600 learners over 5 years. What is the percentage increase in enrolment?
Drunken drivers
40% of drivers driving between 11 pm and 5 am are drunken drivers. In a random sample of 20 drivers driving between 11 pm and 5 am, find the probability that: A) Exactly 12 will be drunken drivers B) At least 7 will be drunken drivers C) At most 5 will be
Five couples
In how many ways can 5 couples arrange themselves in a row if they stay together?
Violin and dance lesson
Each week, Nina takes a violin lesson and a dance lesson. The dance lesson costs ⅔ as much as the violin lesson, and the combined cost is $75. Which systems of equations could be used to find d, the cost of the dance lesson in dollars, and v, the cost of
Two numbers 17
The sum of two numbers is 9, and the sum of their cubes is 189; find the sum of their squares.
A cone 4
A cone with a radius of 10 cm is divided into two parts by drawing a plane through the midpoint of its axis parallel to its base. Compare the volumes of the two parts.
EE school boarding
Three vectors, A, B, and C, are related as follows: A/C = 2 at 120 deg, A + B = -5 + j15, C = conjugate of B. Find C.
all math problems
18629
numbers
6167
irrational numbers
11
algebra
5507
arithmetic
4178
basic functions
5879
combinatorics
999
geometry
3056
goniometry and trigonometry
557
physical quantity
6336
planimetrics
3378
solid geometry
2283
statistics
768
themes, topics
3007
New math problems
Popular math problems
Harder math problems
The easiest word problems
Language
sk
cz
en