A Boat Covers A Certain Distance Downstream In 4 Hours But Takes 6 Ho

1.	A Boat Covers A Certain Distance Downstream In 4 Hours But Takes 6 Hours To Return Upstream To The Starting Point. If The Speed Of The Stream Be 3 Km/hr, Find The Speed Of The Boat In Still Water?
Answer» Let the speed of the water in still water = x Given that speed of the stream = 3 KMPH Speed downstream=(x+3) kmph Speed upstream=(x-3) kmph He TRAVELS a certain distance downstream in 4 HOUR and COME back in 6 hour. ie, distance travelled downstream in 4 hour = distance travelled upstream in 6 hour since distance = speed × time, we have (x+3)4=(x-3)6 ?(x+3)2=(x-3)3 ?2x+6=3x-9 ?x=6+9=15 kmph. Let the speed of the water in still water = x Given that speed of the stream = 3 kmph Speed downstream=(x+3) kmph Speed upstream=(x-3) kmph He travels a certain distance downstream in 4 hour and come back in 6 hour. ie, distance travelled downstream in 4 hour = distance travelled upstream in 6 hour since distance = speed × time, we have (x+3)4=(x-3)6 ?(x+3)2=(x-3)3 ?2x+6=3x-9 ?x=6+9=15 kmph.

A Boat Covers A Certain Distance Downstream In 4 Hours But Takes 6 Hours To Return Upstream To The Starting Point. If The Speed Of The Stream Be 3 Km/hr, Find The Speed Of The Boat In Still Water?

Answer»

Let the speed of the water in still water = x

Given that speed of the stream = 3 KMPH

Speed downstream=(x+3) kmph

Speed upstream=(x-3) kmph

He TRAVELS a certain distance downstream in 4 HOUR and COME back in 6 hour.

ie, distance travelled downstream in 4 hour = distance travelled upstream in 6 hour

since distance = speed × time, we have

(x+3)4=(x-3)6

?(x+3)2=(x-3)3

?2x+6=3x-9

?x=6+9=15 kmph.