Each of the following questions consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. What is the speed of a boat in still water? Statement I: The speed of the boat downstream is 18 km/h and upstream is 12 km/h. Statement II: The boat can travel a distance of 60 km downstream in 3 hours and 20 minutes.

Let the speed of the boat in still water be x km/h and the speed of the stream be y km/h. From I, Downstream speed (x + y) = 18 km/h Upstream speed (x - y) = 12 km/h ATQ, Speed of boat in still water (x) = (Downstream speed + Upstream speed) / 2 Or, x = (18 + 12) / 2 Or, x = 30 / 2 So, x = 15 km/h So, Statement I alone is sufficient to answer the question. From II, The boat travels 60 km downstream in 3 hours and 20 minutes. Time taken = 3 hours + 20/60 hours = 3 + 1/3 = 10/3 hours ATQ, Downstream speed = Distance / Time Or, Downstream speed = 60 / (10/3) = (60 * 3) / 10 = 18 km/h Since we only know the downstream speed (x + y = 18) and have no information about the upstream speed or the speed of the stream, we cannot find the speed of the boat in still water (x). So, Statement II alone is not sufficient to answer the question. Therefore, Statement I alone is sufficient to answer the question, while Statement II alone is not sufficient. Hence, the correct answer is A.