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Raja was on a long distance trip. He travelled by air 2/5 of the distance which was 1200 km. Then, he hired a car and travelled 1/3 of the whole trip. Thereafter, he completed the rest of the journey by train. Calculate the distance that Raja travelled by train.
- a)480 km
- b)800 km
- c)1600 km
- d)1800 km
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
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Raja was on a long distance trip. He travelled by air 2/5 of the dista...
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Raja was on a long distance trip. He travelled by air 2/5 of the dista...
To find the distance that Raja travelled by train, we need to subtract the distances he travelled by air and by car from the total distance of the trip.
Given:
Distance travelled by air = 2/5 of the total distance = 1200 km
Let's calculate the total distance of the trip:
We know that the distance travelled by air is 2/5 of the total distance, so the remaining distance (3/5) is covered by car and train.
Let the total distance be 'd'.
Therefore, (3/5)d = d - 1200 km
Multiplying both sides of the equation by 5/3, we get:
d = (5/3)(d - 1200 km)
d = (5/3)d - 2000 km
d - (5/3)d = -2000 km
(3/3)d - (5/3)d = -2000 km
(-2/3)d = -2000 km
Multiplying both sides of the equation by -3/2, we get:
d = (-3/2)(-2000 km)
d = 3000 km
So, the total distance of the trip is 3000 km.
Now, let's calculate the distance Raja travelled by car:
Distance travelled by car = 1/3 of the total distance = (1/3)(3000 km) = 1000 km
Finally, we can calculate the distance Raja travelled by train:
Distance travelled by train = Total distance - Distance travelled by air - Distance travelled by car
Distance travelled by train = 3000 km - 1200 km - 1000 km
Distance travelled by train = 800 km
Therefore, Raja travelled a distance of 800 km by train.
Hence, the correct answer is option B) 800 km.
Given:
Distance travelled by air = 2/5 of the total distance = 1200 km
Let's calculate the total distance of the trip:
We know that the distance travelled by air is 2/5 of the total distance, so the remaining distance (3/5) is covered by car and train.
Let the total distance be 'd'.
Therefore, (3/5)d = d - 1200 km
Multiplying both sides of the equation by 5/3, we get:
d = (5/3)(d - 1200 km)
d = (5/3)d - 2000 km
d - (5/3)d = -2000 km
(3/3)d - (5/3)d = -2000 km
(-2/3)d = -2000 km
Multiplying both sides of the equation by -3/2, we get:
d = (-3/2)(-2000 km)
d = 3000 km
So, the total distance of the trip is 3000 km.
Now, let's calculate the distance Raja travelled by car:
Distance travelled by car = 1/3 of the total distance = (1/3)(3000 km) = 1000 km
Finally, we can calculate the distance Raja travelled by train:
Distance travelled by train = Total distance - Distance travelled by air - Distance travelled by car
Distance travelled by train = 3000 km - 1200 km - 1000 km
Distance travelled by train = 800 km
Therefore, Raja travelled a distance of 800 km by train.
Hence, the correct answer is option B) 800 km.
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Raja was on a long distance trip. He travelled by air 2/5 of the distance which was 1200 km. Then, he hired a car and travelled 1/3 of the whole trip. Thereafter, he completed the rest of the journey by train. Calculate the distance that Raja travelled by train.a)480 kmb)800 kmc)1600 kmd)1800 kme)None of theseCorrect answer is option 'B'. Can you explain this answer?
Question Description
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