Question

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

Answer 1

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 2

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.