a motorboat whose speed is 24 km/ hr in still water takes 1 hr more to go 30 km upstream then to return downstream in the same spot . find the speed of the stream.
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Let the speed of the stream be x km/hr
Therefore the speed of of boat upstream is 24-x km/hr
and speed of the boat downstream is 24-x km/hr.
time= distance/speed
32/(24-x) - 32/ (24+x) = 1
Solve this and you'll get the speed.
Therefore the speed of of boat upstream is 24-x km/hr
and speed of the boat downstream is 24-x km/hr.
time= distance/speed
32/(24-x) - 32/ (24+x) = 1
Solve this and you'll get the speed.
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Pravleenkaur
Secondary SchoolMath 8+4 pts
A motorboat, whose speed is 24 km/h in still water, takes 1 hour more to go 32 km upstream than to return downstream to the same spot. Find the speed of the stream
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munnati22
Munnati22 Beginner
Let the speed of the stream be x km/hr
Therefore the speed of of boat upstream is 24-x km/hr
and speed of the boat downstream is 24-x km/hr.
time= distance/speed
32/(24-x) - 32/ (24+x) = 1
Solve this and you'll get the speed.
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21 votes
achutham
Achutham Ambitious
Total Distance = 32km
Speed in Still Water = 24km/hr
Let the speed of stream be 'x' kmph
then, Speed moving upstream = 24-x
Speed moving downstream = 24+x
We know that \frac{Distance}{Speed} \frac is time
{32}{24-x} - \frac{32}{24+x} = 1
On reducing it to a quadratic equation,
we get - x^{2} + 64x-576=0
On solving it by splitting the middle term method (8&72 as factors) we get,
x = 8 or -72
Since, the speed cannot be negative, x = 8
Therefore, the speed of the stream is 8 km/hr
Brainly.in
What is your question?
Pravleenkaur
Secondary SchoolMath 8+4 pts
A motorboat, whose speed is 24 km/h in still water, takes 1 hour more to go 32 km upstream than to return downstream to the same spot. Find the speed of the stream
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Follow Report by Sjrunissang 17.03.2016
Answers
munnati22
Munnati22 Beginner
Let the speed of the stream be x km/hr
Therefore the speed of of boat upstream is 24-x km/hr
and speed of the boat downstream is 24-x km/hr.
time= distance/speed
32/(24-x) - 32/ (24+x) = 1
Solve this and you'll get the speed.
Report
4.0
21 votes
achutham
Achutham Ambitious
Total Distance = 32km
Speed in Still Water = 24km/hr
Let the speed of stream be 'x' kmph
then, Speed moving upstream = 24-x
Speed moving downstream = 24+x
We know that \frac{Distance}{Speed} \frac is time
{32}{24-x} - \frac{32}{24+x} = 1
On reducing it to a quadratic equation,
we get - x^{2} + 64x-576=0
On solving it by splitting the middle term method (8&72 as factors) we get,
x = 8 or -72
Since, the speed cannot be negative, x = 8
Therefore, the speed of the stream is 8 km/hr
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