A service-station storage tank needs refilling as there are only 1500 litres left in the tank. Petrol is pumped into the tank at the rate of 750 litres per minute.How much petrol is in the tank at the start of the third minute? (write the value only, units not required)简答题
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Question

A service-station storage tank needs refilling as there are only 1500 litres left in the tank. Petrol is pumped into the tank at the rate of 750 litres per minute.How much petrol is in the tank at the start of the third minute? (write the value only, units not required)简答题

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我们收录了全球超50000道真实原题与详细解析,现在登录,立即获得答案。

BlackTom AI · Accepted Answer

Add the petrol pumped during the first two minutes to the initial 1500 L.

1. Relevant knowledge points and concepts
- Rate × time gives quantity added (volume = rate × time).
- "Start of the third minute" means just after two full minutes have passed (i.e., after 2 minutes of pumping).

2. Step-by-step reasoning
- Start with the known initial amount in the tank.
- Calculate how much petrol has been pumped in the first two full minutes.
- Add that pumped volume to the initial amount to find the amount at the start of minute three.

3. Calculations with all intermediate steps
- Initial amount = 1500 litres.
- Pumping rate = 750 litres per minute.
- Time elapsed before the start of the third minute = 2 minutes.
- Volume added = rate × time = 750 × 2.
- 750 × 2 = 1500.
- Total at start of third minute = initial amount + added volume = 1500 + 1500.
- 1500 + 1500 = 3000.

4. Why the correct answer is correct
- The phrase "start of the third minute" corresponds to the moment after two full minutes of pumping. At 750 L/min, two minutes produce exactly 1500 L. Adding this to the 1500 L initially present yields 3000 L. This follows directly from the linear relation volume = rate × time and simple addition.

5. Why other plausible answers would be incorrect
- 2250 would result from adding only one minute of pumping (1500 + 750), which gives the amount at the start of the second minute, not the third.
- 3750 would be obtained if someone added three minutes of pumping (1500 + 3×750), which gives the amount at the start of the fourth minute (after three full minutes), not the start of the third.
- 1500 ignores any pumping and thus is the initial amount, not the amount at the start of minute three.

6. Conclusion
- The amount of petrol in the tank at the start of the third minute is 3000, which matches the provided correct answer.

A service-station storage tank needs refilling as there are only 1500 litres left in the tank. Petrol is pumped into the tank at the rate of 750 litres per minute.How much petrol is in the tank at the start of the third minute? (write the value only, units not required)简答题

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