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Rakesh travelled 2000 kilometre by air which formed 3/5 of the total journey. He travels 1/4 of the trip by car and the remaining trip by train. Find the distance travelled by train.
- a)2800
- b)4500
- c)2500
- d)3800
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
Rakesh travelled 2000 kilometre by air which formed 3/5 of the total j...
3=2000
5=10000/3
Distance by train=3×10000/3×4=2500
Another method :
Total 20
12====2000
20====2000*20/12
5=====2000*5/12
3=====2000*5*3/12=2500
5=10000/3
Distance by train=3×10000/3×4=2500
Another method :
Total 20
12====2000
20====2000*20/12
5=====2000*5/12
3=====2000*5*3/12=2500
Most Upvoted Answer
Rakesh travelled 2000 kilometre by air which formed 3/5 of the total j...
To find the distance travelled by train, we need to first determine the total distance of the journey.
Let's assume the total distance of the journey is x.
Given that Rakesh travelled 2000 kilometers by air, which formed 3/5 of the total journey, we can set up the equation:
(3/5) * x = 2000
To find the value of x, we can multiply both sides of the equation by 5/3:
x = (5/3) * 2000
x = 3333.33 kilometers (approx.)
Now that we know the total distance of the journey is approximately 3333.33 kilometers, we can find the distance travelled by car and train.
It is given that Rakesh travels 1/4 of the trip by car. Therefore, the distance travelled by car can be calculated as:
(1/4) * 3333.33 = 833.33 kilometers (approx.)
To find the distance travelled by train, we can subtract the distance travelled by air and car from the total distance of the journey:
3333.33 - 2000 - 833.33 = 500 kilometers (approx.)
Therefore, the distance travelled by train is approximately 500 kilometers.
Hence, the correct answer is option C) 2500 kilometers.
Let's assume the total distance of the journey is x.
Given that Rakesh travelled 2000 kilometers by air, which formed 3/5 of the total journey, we can set up the equation:
(3/5) * x = 2000
To find the value of x, we can multiply both sides of the equation by 5/3:
x = (5/3) * 2000
x = 3333.33 kilometers (approx.)
Now that we know the total distance of the journey is approximately 3333.33 kilometers, we can find the distance travelled by car and train.
It is given that Rakesh travels 1/4 of the trip by car. Therefore, the distance travelled by car can be calculated as:
(1/4) * 3333.33 = 833.33 kilometers (approx.)
To find the distance travelled by train, we can subtract the distance travelled by air and car from the total distance of the journey:
3333.33 - 2000 - 833.33 = 500 kilometers (approx.)
Therefore, the distance travelled by train is approximately 500 kilometers.
Hence, the correct answer is option C) 2500 kilometers.
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