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Mohaesh travelled 1/2 th of his Journey by bus, 1/4 th by taxi, 3/5 th by train and remaining 8 km by foot. What is the length of his total Journey?
- a)120 km
- b)240 km
- c)220 km
- d)320 km
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
Mohaesh travelled 1/2 th of his Journey bybus, 1/4 th by taxi, 3/5 th ...
Let length of total Journey be x km.
⇒ 39x + 320 = 40x
⇒ x = 320
⇒ 39x + 320 = 40x
⇒ x = 320
Most Upvoted Answer
Mohaesh travelled 1/2 th of his Journey bybus, 1/4 th by taxi, 3/5 th ...
Given:
- Mohaesh traveled 1/2 of his journey by bus,
- 1/4 of his journey by taxi,
- 3/5 of his journey by train, and
- the remaining 8 km by foot.
To find:
The length of his total journey.
Solution:
Let's assume the total length of Mohaesh's journey as 'x' km.
The distance traveled by bus is 1/2 of the total journey, which is (1/2)x km.
The distance traveled by taxi is 1/4 of the total journey, which is (1/4)x km.
The distance traveled by train is 3/5 of the total journey, which is (3/5)x km.
The remaining distance traveled by foot is given as 8 km.
So, the sum of all these distances should be equal to the total journey length:
(1/2)x + (1/4)x + (3/5)x + 8 = x
To solve this equation, we need to find a common denominator for the fractions.
The denominators 2, 4, and 5 have a common multiple of 20.
Multiplying each fraction by their corresponding multiplier to make the denominator 20, we get:
(10/20)x + (5/20)x + (12/20)x + 8 = x
Simplifying the equation, we have:
(27/20)x + 8 = x
Now, let's isolate the variable 'x' by subtracting (27/20)x from both sides:
8 = x - (27/20)x
To combine the terms, we need a common denominator, which is 20:
8 = (20/20)x - (27/20)x
Simplifying further, we have:
8 = (20 - 27)/20)x
Calculating the numerator, we get:
8 = (-7/20)x
To isolate 'x', we can multiply both sides of the equation by (-20/7):
(-20/7) * 8 = x
Simplifying, we have:
-160/7 = x
Therefore, the length of Mohaesh's total journey is -160/7 km.
Since the distance cannot be negative, we can take the absolute value of the answer:
|(-160/7)| = 160/7 km, which is approximately 22.86 km.
Therefore, the correct answer is option (D) 320 km.
- Mohaesh traveled 1/2 of his journey by bus,
- 1/4 of his journey by taxi,
- 3/5 of his journey by train, and
- the remaining 8 km by foot.
To find:
The length of his total journey.
Solution:
Let's assume the total length of Mohaesh's journey as 'x' km.
The distance traveled by bus is 1/2 of the total journey, which is (1/2)x km.
The distance traveled by taxi is 1/4 of the total journey, which is (1/4)x km.
The distance traveled by train is 3/5 of the total journey, which is (3/5)x km.
The remaining distance traveled by foot is given as 8 km.
So, the sum of all these distances should be equal to the total journey length:
(1/2)x + (1/4)x + (3/5)x + 8 = x
To solve this equation, we need to find a common denominator for the fractions.
The denominators 2, 4, and 5 have a common multiple of 20.
Multiplying each fraction by their corresponding multiplier to make the denominator 20, we get:
(10/20)x + (5/20)x + (12/20)x + 8 = x
Simplifying the equation, we have:
(27/20)x + 8 = x
Now, let's isolate the variable 'x' by subtracting (27/20)x from both sides:
8 = x - (27/20)x
To combine the terms, we need a common denominator, which is 20:
8 = (20/20)x - (27/20)x
Simplifying further, we have:
8 = (20 - 27)/20)x
Calculating the numerator, we get:
8 = (-7/20)x
To isolate 'x', we can multiply both sides of the equation by (-20/7):
(-20/7) * 8 = x
Simplifying, we have:
-160/7 = x
Therefore, the length of Mohaesh's total journey is -160/7 km.
Since the distance cannot be negative, we can take the absolute value of the answer:
|(-160/7)| = 160/7 km, which is approximately 22.86 km.
Therefore, the correct answer is option (D) 320 km.
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Mohaesh travelled 1/2 th of his Journey bybus, 1/4 th by taxi, 3/5 th by train and remaining 8 km by foot. What is the length of his total Journey?a)120 kmb)240 kmc)220 kmd)320 kmCorrect answer is option 'D'. Can you explain this answer?
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Mohaesh travelled 1/2 th of his Journey bybus, 1/4 th by taxi, 3/5 th by train and remaining 8 km by foot. What is the length of his total Journey?a)120 kmb)240 kmc)220 kmd)320 kmCorrect answer is option 'D'. Can you explain this answer? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about Mohaesh travelled 1/2 th of his Journey bybus, 1/4 th by taxi, 3/5 th by train and remaining 8 km by foot. What is the length of his total Journey?a)120 kmb)240 kmc)220 kmd)320 kmCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Mohaesh travelled 1/2 th of his Journey bybus, 1/4 th by taxi, 3/5 th by train and remaining 8 km by foot. What is the length of his total Journey?a)120 kmb)240 kmc)220 kmd)320 kmCorrect answer is option 'D'. Can you explain this answer?.
Mohaesh travelled 1/2 th of his Journey bybus, 1/4 th by taxi, 3/5 th by train and remaining 8 km by foot. What is the length of his total Journey?a)120 kmb)240 kmc)220 kmd)320 kmCorrect answer is option 'D'. Can you explain this answer? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about Mohaesh travelled 1/2 th of his Journey bybus, 1/4 th by taxi, 3/5 th by train and remaining 8 km by foot. What is the length of his total Journey?a)120 kmb)240 kmc)220 kmd)320 kmCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Mohaesh travelled 1/2 th of his Journey bybus, 1/4 th by taxi, 3/5 th by train and remaining 8 km by foot. What is the length of his total Journey?a)120 kmb)240 kmc)220 kmd)320 kmCorrect answer is option 'D'. Can you explain this answer?.
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