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Time and work, time and distance

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About this topic in ADRE Grade III

In the exam pattern: Written examination (OMR), HSSLC level, General Mathematics: 35 questions, 35 marks (SLRC (Class-III) notice, 15 Jul 2024).
Next exam day: ADRE 3.0 written exam (expected): 15 Mar 2027 (Expected — an estimate, not announced).

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Q1 · Time and work, time and distance · MEDIUM
A and B together can finish a piece of work in 12 days. A alone can finish it in 20 days. In how many days can B alone finish the work?
Q2 · Time and work, time and distance · MEDIUM
A car goes from town P to town Q at 40 km/h and returns from Q to P at 60 km/h. What is its average speed for the whole journey?
Q3 · Time and work, time and distance · MEDIUM
A can do a piece of work in 12 days and B can do the same work in 18 days. If they work together, in how many days will they finish the work?
Q4 · Time and work, time and distance · MEDIUM
A pipe can fill a cistern in 10 minutes and another pipe can empty the full cistern in 15 minutes. If both pipes are opened together when the cistern is empty, in how many minutes will the cistern be filled?
Q5 · Time and work, time and distance · MEDIUM
A train 150 meters long is running at a speed of 54 km/h. How long will it take to cross a platform 210 meters long?