✏️ Practice Exercises

Time & Work

5 problems · Easy to Hard · Type your working · AI checks your steps

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How to use these exercises

Read the question → work it out step-by-step in the box → click Check My Working to get AI feedback. Use hints if stuck. Reveal the full solution only after you have tried.

01

easy

A can finish a job in 12 days. B can finish the same job in 18 days. If they work together, how many days will they take to finish the job?

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Find each person's daily rate (1/days), add the rates, then take the reciprocal.

Your Working

02

easy

A tap fills a tank in 6 hours. Another tap fills it in 4 hours. If both taps are open together, how long to fill the tank?

💡 Show hint

Same concept as time & work — each tap's rate is 1/hours.

Your Working

03

medium

A alone takes 10 days to do a job. A and B together take 6 days. How many days does B alone take?

💡 Show hint

Find combined rate first, subtract A's rate to get B's rate, then invert.

Your Working

04

medium

Pipes A and B can fill a tank in 8 and 12 hours respectively. Pipe C can empty the tank in 24 hours. If all three are opened together, how long to fill the tank?

💡 Show hint

Inflow rates add; outflow rate subtracts.

Your Working

05

hard

A and B can do a piece of work in 30 days. They worked together for 20 days, then B left. A finished the remaining work in 20 more days. In how many days can A alone do the entire work?

💡 Show hint

Compute work done in 20 days together; remaining work done by A alone reveals A's rate.

Your Working

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