1.

Quantity B: Speed of stream is 6 km/hr. It takes thrice as long to row up a distance as to row down the same distance. Find the speed of boat in still water.1). Quantity A > Quantity B2). Quantity A < Quantity B3). Quantity A ≥ Quantity B4). Quantity A ≤ Quantity B

Answer»

Quantity A:

LET the speed of stream be a km/hr.

Speed of boat in still water = 5 km/hr

Speed downstream = (a + 5)km/hr

Speed UPSTREAM = (5 – a)km/hr

(a + 5) × 2 = (5 – a) × 5/2

4a + 20 = 25 – 5a

9a = 5

a = 5/9

Speed of stream is 5/9 km/hr.

Quantity B:

Let speed of boat in still water be x km/hr.

Speed of stream = 6 km/hr

Time taken to row down and to row up are in the ratio of 3 : 1.

Then speeds are in the ratio of 1 : 3.

Then,

(x + 6)/3 = (x – 6)/1

x + 6 = 3X – 18

2x = 24

x = 12

Speed of boat in still water is 12 km/hr.

From above solution,

Relation between Quantity A < Quantity B is established.


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