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A motor boat covers a distance …

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A motor boat covers a distance of 16km upstream and 24km downstream in 6hours in the same time it covers a distance of 12km upstream and 36km downstream. Find the speed of the boat in still water and that of the stream

Posted by Monalisha Pradhani 4 years, 9 months ago

CBSE > Class 10 > Mathematics

1 answers

Gaurav Seth 4 years, 9 months ago

Let speed of the boat in still water = x km/hr, and

Speed of the current = y km/hr

Downstream speed = (x+y) km/hr

Upstream speed = (x - y) km/hr

... (1)

... (2)

Putting the equations become:

24u + 16v = 6

Or, 12u + 8v = 3... (3)

36u + 12v = 6

Or, 6u + 2v = 1... (4)

Multiplying (4) by 4, we get,

24u + 8v = 4… (5)

Subtracting (3) by (5), we get,

12u = 1

u =

Putting the value of u in (4), we get, v =

_{Thus, speed of the boat upstream = 4 km/hr}

_{Speed of the boat downstream = 12 km/hr}

1Thank You

ANSWER

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