Answer :

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

Rate this question :

Solve the followiNCERT - Maths Exemplar

Solve the followiNCERT - Maths Exemplar

Solve for x and yRS Aggarwal - Mathematics

Sum of the areas Mathematics - Board Papers

A man can row a bRS Aggarwal - Mathematics