If downstream speed of a boat is numerically equal to square of the upstream speed, what will be the maximum value of ratio of speed of boat to speed of stream such that speed of boat and stream are natural number and not equal.
1). 3 : 2
2). 3 : 1
3). 3 : 5
4). 4 : 7
Let Upstream speed = x
∴ Downstream speed = x2
Speed of the boat = (x2 + x)/2
Speed of the river = (x2 – x)/2
Ratio of the speed of the boat and river = (x2 + x) / (x2 – x) = (x + 1) / (x – 1)
Maximum possible value for x = 2
∴ Ratio of the speed of the boat and river 3 : 1