Topic Details (Notes format)

How to Solve Work-Rate Problems

Subject: Mathematics

Book: Maths Mastery

Work-rate problems revolve around the formula Work = Rate × Time, often focusing on collaborative tasks. For example, if Person A can complete a job in 6 hours (rate = 1/6 job/hour) and Person B can do it in 3 hours (rate = 1/3 job/hour), together their combined rate is 1/6 + 1/3 = 1/2 job/hour, so they finish in 2 hours. Work-rate logic extends to real-life scheduling—like painting rooms, manufacturing tasks, or data processing. Mastering these setups helps you optimize resource use, plan effectively, and interpret team-based productivity measurements.

Practice Questions

What is the LCM of 15 and 20?

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What is the area of a circle with a diameter of 14 cm?

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If a:b = 2:3 and b:c = 4:5, what is a:c?

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If a number is divisible by 9, it is also divisible by which of the following?

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If sin(θ) = 3/5 and θ is an acute angle, what is tan(θ)?

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If x = 3 and y = 4, what is the value of x^2 + y^2?

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What is the sum of all even numbers between 1 and 100?

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If x = 2 and y = 3, what is the value of (x^2 + y^2)?

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What is the cube of 4?

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What is the slope of a line passing through the points (2, 3) and (4, 7)?

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