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

The sides of a triangle are 7, 24, and 25. Is this a right triangle?

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The angles of a quadrilateral are in the ratio 3:4:5:6. What is the largest angle?

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What is the cube of 4?

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What is the value of x if 3x + 7 = 16?

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If a+b = 10 and ab = 21, what is the value of (a-b)^2?

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A train 120 meters long is moving at a speed of 54 km/h. How long will it take to pass a pole?

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What is the probability of drawing an ace from a standard deck of 52 cards?

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What is the sum of the first 20 odd numbers?

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A car travels 240 km in 4 hours. What is its average speed?

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The sum of the reciprocals of two numbers is 1/4. If one number is 12, what is the other?

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