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:
Unemployment rate
Over the last 16 years, the country's unemployment rate has changed according to the following frequency table: years of unemployment: 2 5 2 3 3 1 unemployment rate: 0.5 1 1.5 2 2.5 3 in % (percent). Determine the two-sided confidence interval for the var
Ball bearings
One bearing is selected from the shipment of ball bearings. It is known from previous deliveries that the inner bearing radius can be considered a normal N distribution (µ = 0.400, σ2 = 25.10^−6). Calculate the probability that the selected radius will ex
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?
The number 7
The number of faulty units in a carton of a particular product is known to be normally distributed with a Mean of 10 and a variance of 25. What portion of a given carton of the product is expected to contain___ faulty units? (I) less than 8 (ii) more than
Z score transformation
The annual salary of an entry-level statistics major (in thousands of dollars) is normally distributed with a mean of 75 and a standard deviation of 12. X ∼ N ( μ = 75, σ = 12 ). What is the minimum salary a statistics major should aim for in order to ear
Three sigma rule
Stomach weights are normally distributed, with a mean of 1314g and a standard deviation of 113g. State the probability that a randomly selected stomach weighs more than 1118g. (Report the probabilities using at least four decimal places. )
Suppose 4
Suppose that 14% of all steel shafts produced by a certain process are nonconforming but can be reworked (rather than having to be scrapped). Consider a random sample of 200 shafts, and let X denote the number among these that are nonconforming and can be
Rich retirement
Health care issues are receiving much attention in both academic and political arenas. A sociologist recently surveyed citizens over 60 years of age whose net worth is too high to qualify for government health care but who have no private health insurance
A machine
A machine produces steel rods of normally distributed length, the mean length and the standard deviation being 50.0 cm and 0.5 cm, respectively. The rods do not conform to safety standards if they are either shorter than 49.1 cm or longer than 50.7 cm in
Statistical survey
Write TRUE OR FALSE for each question: 1 Standard deviation measures central location. 2. The most frequent observation in a data set is known as the mode. 3 The most passive method of data collection is observation. 4 Access time for secondary data is sh
Tallest people a
As a group, the Dutch are amongst the tallest people in the world. The average Dutchman is 184 cm tall. If a normal distribution is appropriate, and the standard deviation for Dutchmen is about 8 cm, what is the percentage of Dutchmen who will be over 2 m
Statistics quiz
Fill in the missing word. 1. in a data set, the mean, median and mode are measured of ________________ 2. "The manipulation of variables under controlled conditions"is the data collection method known as______________ 3. in a normal distribution, the area
Corresponding 33321
The following data on the height and the corresponding number of pupils were found in the measurement of 63 pupils: 159cm-1,161cm-1,162cm-2,163cm-1,164cm-2,165cm-2,166cm-3,167cm-2,167cm-3 6,172cm-7,173cm-9,174cm -5,175cm-2,177cm-1,178cm-4,179cm-2,181cm-1,
Complaints
The table is given: days; complaints 0-4; 2 5-9; 4 10-14; 8 15-19; 6 20-24; 4 25-29; 3 30-34; 3 1.1 What percentage of complaints were resolved within two weeks? 1.2 calculate the mean number of days to resolve these complaints. 1.3 calculate the modal nu
IQ Intelligence quotient
Intelligence quotient (IQ) is a standardized score used as the output of standardized intelligence psychological tests to quantify a person's intelligence with the rest of the population (respectively, to a given group). Intelligence has an approximately
Between two bus stops
Wanda lives between two bus stops at three-eighths of their distance. He started the house today and found that he would have arrived at the bus stop if he had run to one or the other. The average bus speed is 60 km/h. What is the average speed of Wanda r
Variance and average
Of the 40 values were calculated average mx = 7.5 and variance sx = 2.25. After we found the control to lack the two items of the values of x41 = 3.8 and x42=7. Correct the above characteristics (mx and sx).
all math problems
18637
algebra
5509
expression of a variable from the formula
2634
triangle
632
right triangle
597
area of a shape
591
equation
589
volume
547
Pythagorean theorem
539
surface area
346
square root
317
perimeter
286
arithmetic
4182
basic functions
5880
combinatorics
999
geometry
3056
goniometry and trigonometry
558
numbers
6169
physical quantity
6337
planimetrics
3379
solid geometry
2283
statistics
769
themes, topics
3007
New math problems
Popular math problems
Harder math problems
The easiest word problems
Language
sk
cz
en