Final answer:
Water will leak at a rate of 500 ml in 10 minutes and it will take 40 minutes to collect 2 litres of water.
Step-by-step explanation:
(a) To find the amount of water that will leak from the tap in 10 minutes, we can set up a proportion. Since water leaks at a rate of 200ml every 4 minutes, we can write the proportion:
200ml/4 minutes = x ml/10 minutes
Cross-multiplying, we get: 4 * x = 200 * 10. Solving for x, we find that x = 500 ml.
Therefore, 500 ml of water will leak from the tap in 10 minutes.
(b) To find out how long it will take to collect 2 litres of water, we need to convert litres to millilitres. 1 litre is equal to 1000 ml, so 2 litres is equal to 2000 ml.
Using the same rate of 200 ml every 4 minutes, we can set up another proportion:
200 ml/4 minutes = 2000 ml/x minutes
Cross-multiplying, we get: 4 * 2000 = 200 * x. Solving for x, we find that x = 40 minutes.
Therefore, it will take 40 minutes to collect 2 litres of water.