Igcse Model Questions Vol1 2023 Mathematics Question 33

Practice objective / multiple choice question 33 from the 2023 Igcse Model Questions Vol1 Mathematics examination.

Igcse Model Questions Vol1 2023 Mathematics Objective / Multiple Choice Medium Difficulty
Question 33 IGCSE_MODEL_QUESTIONS_VOL1 • 2023 • MATHEMATICS • objective

The speed \(v\) (in metres per second) of a boat moving downstream varies directly with the square root of the engine power \(P\) (in kilowatts) and inversely with the square root of the river depth \(d\) (in metres). When \(P=400\) kW and \(d=4\) m, the speed is \(10\) m/s. If the depth is halved and the speed is required to increase to \(12\) m/s, what engine power is needed? Give your answer in kilowatts, rounded to the nearest whole number.

Answer Options

A. 320
B. 300
Correct Answer C. 288
D. 256
Correct Answer
C
Correct Option:
288

About This Question

This is Igcse Model Questions Vol1 2023 Mathematics Question 33. It is one of the objective questions from the 2023 Igcse Model Questions Vol1 Mathematics examination.

Difficulty level: Medium .

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