Question

ROC DATE Boy Protik takes 8 hours. to thavel 36 km to downstream and returned to the same spot the Speed of boat in steel water is 12km per hour. find the speed of water current ​

Answer 1

Answer:

Let the speed of the current be x km/hr.

Pratik goes 36 km downstream.

∴ Distance covered by the Pratik in Downstream=36 km.

Speed of the Pratik in downstream =(12+x) km/hr.

∴ Time taken = (12+x)36

Now, He also returned to the same spot.

∴ Distance covered in upstream =36 km.

Speed of the Pratik in upstream =(12−x) km/hr.

∴ Time taken = (12−x)36

Now, Time taken in upstream + Time taken in downstream =8 hrs.

∴ (12−x)36 + (12+x)36 =8

⇒36(12+x)+36(12−x)=8(12+x)(12−x)

⇒36(12+x+12−x)=8(144−12x+12x−x 2)

⇒36×24=8(144−x 2 )

⇒36×3=144−x 2∴x 2

=144−108∴x= 36

⇒x=+6 or −6

−6 cannot be possible.

∴ Speed of the current is 6 km/hr.

Answer 2

Answer:

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