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Ramesh travelled 3/5 of his journey by rail, 1/4 by a car, 1/8 by a bus and the remaining 4 km on foot. What is the length of total journey?
- a)120 km
- b)140 km
- c)160 km
- d)180 km
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
Ramesh travelled 3/5of his journey by rail, 1/4 by a car, 1/8by a bus ...
Let the total journey be x km.
Most Upvoted Answer
Ramesh travelled 3/5of his journey by rail, 1/4 by a car, 1/8by a bus ...
To find the total length of Ramesh's journey, we need to add up the lengths of each leg of the journey.
Given:
Ramesh travelled 3/5 of his journey by rail.
Ramesh travelled 1/4 of his journey by car.
Ramesh travelled 1/8 of his journey by bus.
Ramesh travelled the remaining 4 km on foot.
Let's assume the total length of Ramesh's journey is "x" km.
Length of journey by rail: (3/5) * x
Length of journey by car: (1/4) * x
Length of journey by bus: (1/8) * x
Length of journey on foot: 4 km
To find x, we can set up an equation:
(3/5) * x + (1/4) * x + (1/8) * x + 4 = x
Now, let's solve this equation step by step:
Step 1: Simplify the left side of the equation by finding the common denominator for (3/5), (1/4), and (1/8):
(24/40) * x + (10/40) * x + (5/40) * x + 4 = x
Step 2: Combine like terms:
(39/40) * x + 4 = x
Step 3: Move the x term to the left side of the equation by subtracting x from both sides:
(39/40) * x - x + 4 = 0
(-1/40) * x + 4 = 0
Step 4: Multiply through by 40 to eliminate the fraction:
- x + 160 = 0
Step 5: Add x to both sides:
160 = x
Therefore, the total length of Ramesh's journey is 160 km.
Hence, the correct answer is option C, 160 km.
Given:
Ramesh travelled 3/5 of his journey by rail.
Ramesh travelled 1/4 of his journey by car.
Ramesh travelled 1/8 of his journey by bus.
Ramesh travelled the remaining 4 km on foot.
Let's assume the total length of Ramesh's journey is "x" km.
Length of journey by rail: (3/5) * x
Length of journey by car: (1/4) * x
Length of journey by bus: (1/8) * x
Length of journey on foot: 4 km
To find x, we can set up an equation:
(3/5) * x + (1/4) * x + (1/8) * x + 4 = x
Now, let's solve this equation step by step:
Step 1: Simplify the left side of the equation by finding the common denominator for (3/5), (1/4), and (1/8):
(24/40) * x + (10/40) * x + (5/40) * x + 4 = x
Step 2: Combine like terms:
(39/40) * x + 4 = x
Step 3: Move the x term to the left side of the equation by subtracting x from both sides:
(39/40) * x - x + 4 = 0
(-1/40) * x + 4 = 0
Step 4: Multiply through by 40 to eliminate the fraction:
- x + 160 = 0
Step 5: Add x to both sides:
160 = x
Therefore, the total length of Ramesh's journey is 160 km.
Hence, the correct answer is option C, 160 km.
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Ramesh travelled 3/5of his journey by rail, 1/4 by a car, 1/8by a bus and the remaining 4 km on foot. What is the length of total journey? a)120 kmb)140 kmc)160 kmd)180 kmCorrect answer is option 'C'. Can you explain this answer?
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Ramesh travelled 3/5of his journey by rail, 1/4 by a car, 1/8by a bus and the remaining 4 km on foot. What is the length of total journey? a)120 kmb)140 kmc)160 kmd)180 kmCorrect answer is option 'C'. Can you explain this answer? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about Ramesh travelled 3/5of his journey by rail, 1/4 by a car, 1/8by a bus and the remaining 4 km on foot. What is the length of total journey? a)120 kmb)140 kmc)160 kmd)180 kmCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ramesh travelled 3/5of his journey by rail, 1/4 by a car, 1/8by a bus and the remaining 4 km on foot. What is the length of total journey? a)120 kmb)140 kmc)160 kmd)180 kmCorrect answer is option 'C'. Can you explain this answer?.
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