Tutorial Boats and Streams

Downstream : In water direction along the stream is called downstream.

Upstream : In water direction against stream is called upstream.

Rule : If the speed of a boat in still water is x km/hr and the speed of the stream is y km/hr, then:

Speed downstream = ( x + y ) km/hr

Speed upstream = ( x - y ) km/hr





Rule : If the downstream speed is a km/hr and the speed upstream is b km/hr, then

     Boats and streams

     Boats and streams




Ex. A man can row a boat in upstream at 6 kmph and downstream at 12 kmph . Find the man's rate in still water and the rate of current. 

Boats and streams

Boats and streams




Ex. A man can row 15 km /hr in still water. It takes him twice as long to row upstream as to row downstream. Find the rate of stream ?

Solution : Let man's rate in upstream be x km/hr, then his rate in downstream is = 2x kmph

Boats and streams 

  Boats and streams

So rate in down stream= 2x= 20 km/hr





Ex. A boat covers 24 km upstream and 36 km downstream in 6 hours another time it covers 36 km upstream and 24 km downstream in 13 / 2 hours. Find out the rate of current ?

Solution : Let the rate of upstream be x kmph , rate of downstream be y kmph, then 

 Boats and streams

On adding both equeation :

  Bats and streams

On substracting both equation :

Boats and streams

On solving both final equations we get x=8 and y=12, now 

Boats and streams

Boats and streams




Previous
Next Post »

Popular Posts