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Rakesh travelled 1800 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)350
- b)450
- c)550
- d)650
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Rakesh travelled 1800 kilometre by air which formed 3/5 of the total j...
3/5 of D = 1800. So D = 3000 km,
so distance travelled by train = 3000 – 1800 – 1/4 of 3000 = 450
so distance travelled by train = 3000 – 1800 – 1/4 of 3000 = 450
Most Upvoted Answer
Rakesh travelled 1800 kilometre by air which formed 3/5 of the total j...
To find the distance travelled by train, we need to find the total distance of the journey and subtract the distance travelled by air and by car.
Let's assume the total distance of the journey is D.
Distance travelled by air: 3/5 of the total journey = (3/5) * D = 1800 km
Distance travelled by car: 1/4 of the total journey = (1/4) * D
Now, we can calculate the remaining distance travelled by train:
Remaining distance = Total distance - Distance travelled by air - Distance travelled by car
Remaining distance = D - 1800 km - (1/4) * D
Since the remaining distance is travelled by train, we need to find the value of D.
We know that the distance travelled by air is 1800 km, which is equal to 3/5 of the total distance:
1800 km = (3/5) * D
To find D, we can solve the equation:
D = (1800 km * 5) / 3
D = 3000 km
Now, we can substitute the value of D in the equation for the remaining distance:
Remaining distance = 3000 km - 1800 km - (1/4) * 3000 km
Remaining distance = 3000 km - 1800 km - 750 km
Remaining distance = 450 km
Therefore, the distance travelled by train is 450 km.
Hence, the correct answer is option 'B' (450 km).
Let's assume the total distance of the journey is D.
Distance travelled by air: 3/5 of the total journey = (3/5) * D = 1800 km
Distance travelled by car: 1/4 of the total journey = (1/4) * D
Now, we can calculate the remaining distance travelled by train:
Remaining distance = Total distance - Distance travelled by air - Distance travelled by car
Remaining distance = D - 1800 km - (1/4) * D
Since the remaining distance is travelled by train, we need to find the value of D.
We know that the distance travelled by air is 1800 km, which is equal to 3/5 of the total distance:
1800 km = (3/5) * D
To find D, we can solve the equation:
D = (1800 km * 5) / 3
D = 3000 km
Now, we can substitute the value of D in the equation for the remaining distance:
Remaining distance = 3000 km - 1800 km - (1/4) * 3000 km
Remaining distance = 3000 km - 1800 km - 750 km
Remaining distance = 450 km
Therefore, the distance travelled by train is 450 km.
Hence, the correct answer is option 'B' (450 km).
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Community Answer
Rakesh travelled 1800 kilometre by air which formed 3/5 of the total j...
3/5 of D = 1800. So D = 3000 km,
so distance travelled by train = 3000 – 1800 – 1/4 of 3000 = 450
so distance travelled by train = 3000 – 1800 – 1/4 of 3000 = 450
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