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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.
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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?
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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
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Solve:
Solve: 2r²+7r-r²-9
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