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The following questions have three statements. Study the question and the statements and decide which of the statement(s) is/are necessary to answer the question. Find the speed of the boat in still water. Statement I: The boat goes twice the distance downstream as it goes upstream in 30 minutes. Statement II: The boat goes 720 meters in 1 hour downstream. Statement III: Speed of the boat in still water is three times the speed of the current.

The following questions have three statements. Study the question and the statements and decide which of the statement(s) is/are necessary to answer the question. Find the speed of the boat in still water. Statement I: The boat goes twice the distance downstream as it goes upstream in 30 minutes. Statement II: The boat goes 720 meters in 1 hour downstream. Statement III: Speed of the boat in still water is three times the speed of the current. Correct Answer Statement II and either Statement I or Statement III are sufficient to answer the question.

Suppose the speed of boat in still water and speed of the current is ‘a’ and ‘b’;

Statement I:

2D/(a + b) = D/(a – b)

⇒ a + b = 2a – 2b

⇒ a = 3b ---- (1)

Statement III:

Speed of the boat in still water is three times the speed of the current;

∴ a = 3b ---- (2)

Here we can see that Statement I and III both are giving the same information.

Statement II:

The boat goes 720 meters in 1 hour downstream;

∴ (a + b) × 60 = 720

⇒ (a + b) = 12

Now with the help of statement I or II, we can get the value of ‘a’ i.e. the speed of the boat.

∴ Statement II and either Statement I or Statement III are sufficient to answer the question.

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