Q. 36

# A motorboat cover

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)

Let Put in the above equation we get,

24u + 16v = 6

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

36u + 12v = 6

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

Multiplying (4) by 4, we get,

24u + 8v = 4v … (5)

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

12u = 1

u = 1/12

Putting the value of u in (4), we get, v = 1/4 = 1/12 and = 1/4

x + y = 12 and x y = 4

Thus, speed of the boat in still water = 8 km/hr,

Speed of the current = 4 km/hr

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