3. Problem Solving

Work Rates — Quiz

Test your understanding of work rates with 5 practice questions.

Practice Questions

Question 1

Machine A can produce $100$ units in $5$ hours. Machine B can produce $120$ units in $4$ hours. If both machines work together, how many units can they produce in $10$ hours?

Question 2

A team of $3$ painters can paint a house in $10$ days. If the team adds $2$ more painters, how many days will it take the new team to paint the same house, assuming all painters work at the same rate?

Question 3

Pipe A can fill a tank in $8$ hours, and Pipe B can drain the same tank in $12$ hours. If both pipes are opened simultaneously, how long will it take to fill the tank?

Question 4

A typist can type a $1000$-word document in $20$ minutes. If the typist increases their typing speed by $25\%$, how many words can they type in $15$ minutes?

Question 5

Worker A can assemble $30$ toys in $6$ hours. Worker B can assemble $40$ toys in $5$ hours. If they work together for $3$ hours, how many toys will they assemble in total?