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 7th term of the arithmetic progression 3, 6, 9, 12,...?

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If log(100) = 2 and log(10) = 1, what is log(1000)?

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The probability of rolling a sum of 7 with two dice is:

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A sum triples in 20 years at simple interest. What is the rate of interest per annum?

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If 2a + b = 10 and a - b = 4, what is the value of a?

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If 2x - 3 = 7, what is the value of x?

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What is the LCM of 15 and 20?

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

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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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A man spends 75% of his income and saves Rs. 600. What is his total income?

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