Comprehension
Mr. Rajiv is covering a given distance by car in 4 hrs. He goes at a speed of 35 km per hour for the first two hours and at 45 km per hour for the next two hours. Aditi is going on the same journey but is going to cover at the speeds of 30, 40 and 50 km per hour, covering equal distances in each of the speed segments. The mileage given by the two cars is exactly the same.
Question: 1
Petrol consumed by Aditi is (in litres)
Petrol consumed by Aditi is (in litres)
Show Hint
In problems involving speed, time, and distance, divide the total journey into smaller segments and calculate petrol consumption for each segment separately.
Updated On: Aug 5, 2025
- 8.31
- 8.6
- 8.9
- 9.2
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The Correct Option is B
Solution and Explanation
Aditi covers the journey in 4 hours, divided into segments of 30 km/h, 40 km/h, and 50 km/h.
For each speed segment:
- Distance covered in each segment is equal.
- The mileage for 30 km/h, 40 km/h, and 50 km/h are 16, 24, and 30 km per litre of petrol, respectively.
The total distance covered by Aditi is the sum of distances in each segment, and the total petrol consumed is calculated by dividing the distance by the mileage for each segment.
\[
\text{Petrol consumed} = \frac{\text{Distance for each segment}}{\text{Mileage for each segment}}
\]
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Question: 2
Zoheb who is also planning to drive Aditi's car, and cover the same journey plans to use minimum petrol. How much of petrol is he going to consume (in litres)?
Zoheb who is also planning to drive Aditi's car, and cover the same journey plans to use minimum petrol. How much of petrol is he going to consume (in litres)?
Show Hint
For minimum petrol consumption, choose the speed with the highest mileage for each segment of the journey.
Updated On: Aug 5, 2025
- 6.67
- 7.0
- 6.33
- 6
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The Correct Option is C
Solution and Explanation
Zoheb drives the same journey, but optimizes the petrol consumption by covering the same distances at different speeds (30 km/h, 40 km/h, and 50 km/h) based on their respective mileages.
We calculate the total petrol consumption by considering the distance covered at each speed and dividing by the respective mileages.
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