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 simple interest on Rs. 4000 at 5% per annum for 2 years is:

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The LCM of 12 and 15 is:

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If the product of two numbers is 120 and their sum is 26, what are the numbers?

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What is the LCM of 15 and 20?

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A square is inscribed in a circle with a radius of 5 cm. What is the area of the square?

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The base of a triangle is 10 cm and its height is 6 cm. What is its area?

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What is the area of a sector of a circle with radius 14 cm and central angle 90°?

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If the average of five consecutive odd numbers is 25, what is the largest number?

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If the radius of a circle is 7 cm, what is its circumference?

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A man rows downstream at 6 km/h and upstream at 4 km/h. What is the speed of the stream?

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