A motorboat whose speed is 24 km per hour in still water takes 1 hour more to go to 32 km upstream then to return downstream to the same spot find the speed of the stream
Answers
Answer:
Step-by-step explanation:
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 is time
On reducing it to a quadratic equation,
we get -
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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Answer:
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 is time
On reducing it to a quadratic equation,
we get -
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.