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The tank-full petrol in Arun’s motor-cycle last for 10 days. If he starts using 25% more every day, how many days will the tank-full petrol last?
- a)4
- b)6
- c)8
- d)10
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The tank-full petrol in Arun’s motor-cycle last for 10 days. If ...
Assume – Arun’s motorcycle uses 1L per day and therefore tank’s Capacity = 10L.
25% increased per day= 1+(25/100) = 5/4 ie. 1.25L per day
Days = 10/1.25 = 8
25% increased per day= 1+(25/100) = 5/4 ie. 1.25L per day
Days = 10/1.25 = 8
Most Upvoted Answer
The tank-full petrol in Arun’s motor-cycle last for 10 days. If ...
Understanding the Problem
Arun's motorcycle petrol lasts for 10 days under normal consumption. This means that the petrol tank can support a certain amount of petrol used daily, which we can quantify as 1 unit of petrol per day for simplicity.
Current Daily Consumption
- Total petrol lasts for 10 days.
- Daily petrol consumption = Total petrol / 10 days = 1 unit per day.
Increased Daily Consumption
Arun will be using 25% more petrol each day:
- New daily consumption = 1 unit + 25% of 1 unit.
- Calculation: 1 unit + 0.25 units = 1.25 units per day.
Total Petrol Available
Since the tank can last for 10 days at the original rate, the total petrol can be represented as:
- Total petrol = 10 days * 1 unit/day = 10 units.
Calculating New Duration
Now, we need to determine how many days the petrol will last at the new consumption rate of 1.25 units per day:
- Days the petrol lasts = Total petrol / New daily consumption.
- Calculation: 10 units / 1.25 units/day = 8 days.
Conclusion
Thus, with the increase in petrol consumption, Arun's motorcycle will last for 8 days instead of 10 days.
Therefore, the correct option is C) 8 days.
Arun's motorcycle petrol lasts for 10 days under normal consumption. This means that the petrol tank can support a certain amount of petrol used daily, which we can quantify as 1 unit of petrol per day for simplicity.
Current Daily Consumption
- Total petrol lasts for 10 days.
- Daily petrol consumption = Total petrol / 10 days = 1 unit per day.
Increased Daily Consumption
Arun will be using 25% more petrol each day:
- New daily consumption = 1 unit + 25% of 1 unit.
- Calculation: 1 unit + 0.25 units = 1.25 units per day.
Total Petrol Available
Since the tank can last for 10 days at the original rate, the total petrol can be represented as:
- Total petrol = 10 days * 1 unit/day = 10 units.
Calculating New Duration
Now, we need to determine how many days the petrol will last at the new consumption rate of 1.25 units per day:
- Days the petrol lasts = Total petrol / New daily consumption.
- Calculation: 10 units / 1.25 units/day = 8 days.
Conclusion
Thus, with the increase in petrol consumption, Arun's motorcycle will last for 8 days instead of 10 days.
Therefore, the correct option is C) 8 days.
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