Answer
Verified
483.6k+ views
Hint: Determine the distance the man covered by train and then by bus and subtract from the total distance to obtain the distance he covered by walk.
Complete step-by-step answer:
It is given that the man completes \[\dfrac{6}{{11}}\] of a 231 km journey by train.
We know that the distance the man covered by train is the product of the fraction of the distance covered by the train and the total distance. Hence, we have:
Distance covered by man by train = \[\dfrac{6}{{11}} \times 231km\]
Distance covered by man by train = \[6 \times 21km\]
Distance covered by man by train = \[126km...........(1)\]
Therefore, the man covered 126km by train.
It is given that the man completes \[\dfrac{3}{7}\] of the 231 km journey by bus.
We know that the distance the man covered by bus is the product of the fraction of the distance covered by the bus and the total distance. Hence, we have:
Distance covered by man by bus = \[\dfrac{3}{7} \times 231km\]
Distance covered by man by bus = \[3 \times 33km\]
Distance covered by man by bus = \[99km...............(2)\]
The distance the man covered by walking is the difference between the total distance he covered and the sum of the distances he covered by train and bus. Then, from equation (1) and equation (2), we have:
Distance covered by man by walk = \[231 - 126 - 99\]
Distance covered by man by walk = \[6km\]
Hence, the man covered 6 km by walk.
Note: We can also find the fraction he walked by subtracting the sum of the fractions he covered by train and bus from 1. Then, we can multiply with the total distance to find the distance he covered by walk.
Complete step-by-step answer:
It is given that the man completes \[\dfrac{6}{{11}}\] of a 231 km journey by train.
We know that the distance the man covered by train is the product of the fraction of the distance covered by the train and the total distance. Hence, we have:
Distance covered by man by train = \[\dfrac{6}{{11}} \times 231km\]
Distance covered by man by train = \[6 \times 21km\]
Distance covered by man by train = \[126km...........(1)\]
Therefore, the man covered 126km by train.
It is given that the man completes \[\dfrac{3}{7}\] of the 231 km journey by bus.
We know that the distance the man covered by bus is the product of the fraction of the distance covered by the bus and the total distance. Hence, we have:
Distance covered by man by bus = \[\dfrac{3}{7} \times 231km\]
Distance covered by man by bus = \[3 \times 33km\]
Distance covered by man by bus = \[99km...............(2)\]
The distance the man covered by walking is the difference between the total distance he covered and the sum of the distances he covered by train and bus. Then, from equation (1) and equation (2), we have:
Distance covered by man by walk = \[231 - 126 - 99\]
Distance covered by man by walk = \[6km\]
Hence, the man covered 6 km by walk.
Note: We can also find the fraction he walked by subtracting the sum of the fractions he covered by train and bus from 1. Then, we can multiply with the total distance to find the distance he covered by walk.
Recently Updated Pages
what is the correct chronological order of the following class 10 social science CBSE
Which of the following was not the actual cause for class 10 social science CBSE
Which of the following statements is not correct A class 10 social science CBSE
Which of the following leaders was not present in the class 10 social science CBSE
Garampani Sanctuary is located at A Diphu Assam B Gangtok class 10 social science CBSE
Which one of the following places is not covered by class 10 social science CBSE
Trending doubts
Which are the Top 10 Largest Countries of the World?
How do you graph the function fx 4x class 9 maths CBSE
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
The only snake that builds a nest is a Krait b King class 11 biology CBSE
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
In Indian rupees 1 trillion is equal to how many c class 8 maths CBSE
Give 10 examples for herbs , shrubs , climbers , creepers
Why is there a time difference of about 5 hours between class 10 social science CBSE
Which places in India experience sunrise first and class 9 social science CBSE