Answer :
Final answer:
To convert the speed of 26 knots to mph, multiply by 1.15 to get 29.9 mph. Assuming 'tons' in the question was intended to be 'metric tonnes', 93,000 tons would already be expressed in metric tonnes. Answer choice (a) appears correct if we assume a typo in the displacement unit.
Explanation:
To convert the boat's top speed from knots to miles per hour (mph), we can use the conversion factor that 1 knot is equivalent to 1.15 mph. Thus, a speed of 26 knots is equal to 26 × 1.15 = 29.9 mph.
As for the displacement in metric tonnes, we know that 1 metric tonne is equivalent to 1,000 kilograms. However, the question implies that the displacement is given in long tons (often simply referred to as "tons"), which is a unit of weight commonly used in the UK and US. In the maritime context, a long ton is usually equivalent to 2,240 pounds or approximately 1.01605 metric tonnes. Therefore, to convert 93,000 long tons to metric tonnes, we would multiply by this factor: 93,000 × 1.01605 ≈ 94,492 metric tonnes.
Therefore, neither of the provided answer choices is correct. However, if we assume a typo and that 'tons' should have been 'metric tonnes' in the question, then the correct answer would be 29.9 mph for the top speed and 93,000 metric tonnes for the displacement, which corresponds to answer choice (a).