Correct Answer - Option 2 : Quantity - I < Quantity – II > Quantity – III
Quantity - I)
Downstream speed = 16 kmph
Speed of stream = 4 kmph
Upstream speed = 12 - 4 = 8 kmph
Let the distance travelled = D kms
Time taken in downstream = T hours.
Time taken in upstream = T + 2 hours.
According to the question.
D/16 = T
D/8 = T + 2
On solving above equation we get,
T = 2 hours.
D = 32 kms.
Quantity - II)
When the distance is same.
Downstream : Upstream
Time 10 : 16
Speed 8x : 5x
Let the speed of Boat in still water = (u) kmph
Let the speed of stream = (v) kmph
u + v = 8x ----(1)
u - v = 5x ----(2)
Solving eq(1) and eq(2)
u = 13/2
v = 3/2
Percentage = (u/v) × 100
Percentage = (13/3) × 100 = 433.3%
Quantity III
Side : length : breadth = 1x : 4x : 2x ----(1)
Difference = 3x
Actual difference = 15 cm
3x = 15 cm
x = 5 cm
Area of rectangle = (2x) X (4x)
Area of rectangle = 200 cm2
Quantity - I < Quantity – II > Quantity – III