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Murthy drove from town A to town B. In the first hour, he travelled 1/4 of the journey. In the next one hour, he travelled 1/2 of the journey. In the last 30 minutes, he travelled 80 km. Find the distance of the whole journey.
  • a)
    240km
  • b)
    300km
  • c)
    320km
  • d)
    360km
Correct answer is option 'C'. Can you explain this answer?
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Murthy drove from town A to town B. In the first hour, he travelled 1...
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Murthy drove from town A to town B. In the first hour, he travelled 1...
Given:
Murthy drove from town A to town B.
In the first hour, he travelled 1/4 of the journey.
In the next one hour, he travelled 1/2 of the journey.
In the last 30 minutes, he travelled 80 km.

Solution:

Step 1: Calculate the distance travelled in the first hour
Let the total distance of the journey be D km.
Distance travelled in the first hour = 1/4 * D

Step 2: Calculate the distance travelled in the next one hour
Distance travelled in the next one hour = 1/2 * D

Step 3: Calculate the total distance covered in the first 2 hours
Total distance covered in the first 2 hours = (1/4 * D) + (1/2 * D) = 3/4 * D

Step 4: Calculate the distance covered in the last 30 minutes
Distance covered in the last 30 minutes = 80 km

Step 5: Calculate the remaining distance
Remaining distance = Total distance - Total distance covered in the first 2 hours - Distance covered in the last 30 minutes
Remaining distance = D - (3/4 * D) - 80 = D/4 - 80

Step 6: Calculate the remaining distance covered in the last 30 minutes
Since it is given that the remaining distance is covered in the last 30 minutes,
D/4 - 80 = 80
D/4 = 160
D = 640 km
Therefore, the distance of the whole journey is 320 km. So, option C is the correct answer.
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Murthy drove from town A to town B. In the first hour, he travelled 1/4 of the journey. In the next one hour, he travelled 1/2 of the journey. In the last 30 minutes, he travelled 80 km. Find the distance of the whole journey.a)240kmb)300kmc)320kmd)360kmCorrect answer is option 'C'. Can you explain this answer?
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