ACT Math · Ratios, rates, and percents

A ship travels at 20 knots (nautical miles per hour). Approximately how many regular miles per hour is this, given 1 knot ≈ 1.15078 mph?

A ship travels at 20 knots (nautical miles per hour). Approximately how many regular miles per hour is this, given 1 knot ≈ 1.15078 mph?

Answer and explanation

Answer: H: 23.0

Each knot is about 1.150781.15078 miles per hour, so multiply: 20⋅1.15078≈23.020\cdot1.15078\approx23.0 miles per hour, choice H. A statute (regular) mile is shorter than a nautical mile, so the speed in regular miles per hour is a larger number than the speed in knots. Choice F (17.417.4) divides by the factor instead of multiplying. Choice G (20.020.0) does not convert at all. Choice J (25.025.0) overestimates the conversion factor as 1.251.25. The answer should be a bit more than 2020.

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