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Rahim covers a distance of 48 km performed by train, bike and car in that order, the distance covered by the three ways in that order are in the ratio of 8 : 1 : 3 and charges per kilometer in that order are in the ratio of 8 : 1 : 4. If the train charges being 24 ₹ per kilometer, the total cost of the journey is
  • a)
    ₹ 924
  • b)
    ₹ 1000
  • c)
    ₹ 1200
  • d)
    None of these
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Rahim covers a distance of 48 km performed by train, bike and car in t...
Total distances covered under each mode = 32, 4 and 12 km respectively.
Total charges = 32 × 24 + 4 × 3 + 12 × 12 = ₹ 924.
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Community Answer
Rahim covers a distance of 48 km performed by train, bike and car in t...
Given Information:
- Distance covered by Rahim: 48 km
- Distance covered by train, bike, and car in order: 8:1:3
- Charges per kilometer in order: 8:1:4
- Train charges: $24 per kilometer

To find: Total cost of the journey

Let's calculate the distance covered by each mode of transportation:
- Distance covered by train = (8/12) * 48 = 32 km
- Distance covered by bike = (1/12) * 48 = 4 km
- Distance covered by car = (3/12) * 48 = 12 km

Now, let's calculate the charges for each mode of transportation:
- Charges for train = 32 km * $24/km = $768
- Charges for bike = 4 km * ($24/km * 1/8) = $12
- Charges for car = 12 km * ($24/km * 4/8) = $72

Total cost of the journey = Charges for train + Charges for bike + Charges for car
= $768 + $12 + $72
= $852

But the given options do not include $852. Let's check the closest option.

Option A: 924
The total cost of the journey is $924, which is not equal to the calculated cost of $852. Therefore, option A is incorrect.

Option B: 1000
The total cost of the journey is $1000, which is not equal to the calculated cost of $852. Therefore, option B is incorrect.

Option C: 1200
The total cost of the journey is $1200, which is not equal to the calculated cost of $852. Therefore, option C is incorrect.

Option D: None of these
Since none of the given options match the calculated cost of $852, option D is the correct answer.
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Rahim covers a distance of 48 km performed by train, bike and car in that order, the distance covered by the three ways in that order are in the ratio of 8 : 1 : 3 and charges per kilometer in that order are in the ratio of 8 : 1 : 4. If the train charges being 24 per kilometer, the total cost of the journey isa) 924b) 1000c) 1200d)None of theseCorrect answer is option 'A'. Can you explain this answer?
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