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A Boat takes 3 hours to go 45 km downstream and IT returns in 9 hours find the speed of stream and that a boat in still water

Posted by Binod Sharma 8 years, 1 month ago

CBSE > Class 10 > Mathematics

1 answers

Naveen Sharma 8 years, 1 month ago

Ans. Let Speed of boat in still water = x km/h

Speed of stream = y km/h

According to question,

Case 1 Downstream :

Time taken = 3 hours

total distance = 45 km

Speed of boat downstream = x + y

So, ${45\over 3} = x+y$

=> x+y = 15 ............. (1)

Case 2 Upstream :

Time taken = 9 hours

total distance = 45 km

Speed of boat upstream = x - y

So, ${45\over 9} = x-y$

=> x - y = 5 ..............(2)

Adding (1) and (2) we get

=> 2x = 20

x = 10

From (2). 10 - y = 5

=> y = 5

So speed of boat in still water = 10 Km/h

Speed of stream = 5 Km/h

2Thank You

ANSWER

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