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

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

View Question

A number is increased by 20% and then decreased by 10%. What is the net change?

View Question

If sin(θ) = 0.6 and θ is acute, what is cos(θ)?

View Question

What is the square root of 144?

View Question

The area of an equilateral triangle with side length 6 cm is:

View Question

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

View Question

What is the HCF of 72 and 120?

View Question

If the angles of a triangle are in the ratio 2:3:4, what is the measure of the largest angle?

View Question

A number is increased by 20% and then decreased by 20%. What is the net change?

View Question

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

View Question