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

View Question

The sides of a triangle are 5 cm, 12 cm, and 13 cm. What type of triangle is it?

View Question

A cone has a base radius of 7 cm and height of 24 cm. What is its volume?

View Question

What is the sum of the first 10 positive even numbers?

View Question

What is the cube root of 729?

View Question

If sin(x) = 3/5 and x is in the first quadrant, what is cos(x)?

View Question

If x^2 + 4x + 4 = 0, what is the value of x?

View Question

If a cone has a radius of 5 cm and a height of 12 cm, what is its slant height?

View Question

What is the HCF of 72 and 120?

View Question

The sum of the squares of two consecutive integers is 145. What are the integers?

View Question