while going upstream in a river by a boat . speed of the stream is __ from the speed of the boat
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let the speed be x
the speed of the boat upstream equal to (18 - x) kilometre per hour and the speed off the boat downstream is equal to (18 + x) kilometre per hour
the time taken to go upstream =distance/speed=24/18 - x Hour
according to the question
- 24/18 - x - 24/18 + x=1
- 24 (18 + x)-24 (18 - x)=(18 - x)(18 + x)
- X^2 + 48 x - 324 =0
- using the quadratic formula we get
- X = -48 +- ✓48^2+1296/2 = -48-+ ✓3600/2
- =-48+-60/2=6 or -54
- since x is the speed of the stream it cannot be negative so we ignore the root is equal to - 54 therefore x is equal to 6 gives the speed of the stream as 6 kilometre per hour
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