Question

The question given below consists of a question and 3 statements given below it. You must decide whether the data provided in the statements is sufficient to answer the question. Two boats X and Y started from point P towards point Q. The speed of the stream is 10 km/hr less than the speed of boat Y. The ratio of the speeds of boat X and boat Y in still water is 4:3. Find the distance between P and Q.
I. Total time taken by boat X and Y to travel from P to Q is 11 hours.
II. Total time taken by boat X and Y from Q to P in upstream is 45 hours.
III. Average speed of boat X and Y in still water is 35 km/hr.

Q: Answer-The question given below consists of a question and 3 statements given below it. You must decide whe...

ATQ, Let the speed of boat X and Y in still water be 4a kmhr and 3a kmhr respectively. Speed of stream 3a - 10 kmhr So, Downstream speed of X 7a - 10 Downstream speed of Y 6a - 10 Upstream speed of X a 10 Upstream speed of Y 10 From I, d7a - 10 d6a - 10 11 Not sufficient alone. From II, da 10 d10 45 Not sufficient alone. From III, 4a 3a2 35 7a2 35 7a 70 a 10 Now a is known, but distance is still not directly known. So III alone is not sufficient. Thus, any two statements together are required. Hence, D is correct.