A man travelled 45 of his journey by rail , 14 by taxi and 13by bus and the remaining 2 km on foot . what is the length of this total journey.[linear equation]
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10K is 6.2 miles; a considerable distance.
Let x = total journey distance
by train + by taxi + by bus + by foot = total journey
(2/5)x + (1/3)x + (1/6)x + 10K = x
To get rid of all fractions, multiply by the LCM of the denominators (this is just like finding the Least Common Denominator). LCM = 30
12x + 10x + 5x + 300K = 30x
27x + 300K = 30x [group like terms]
300K = 3x [subtract 27x from both sides]
100K = x [divide both sides by 3]
The total journey was 100 K
Let x = total journey distance
by train + by taxi + by bus + by foot = total journey
(2/5)x + (1/3)x + (1/6)x + 10K = x
To get rid of all fractions, multiply by the LCM of the denominators (this is just like finding the Least Common Denominator). LCM = 30
12x + 10x + 5x + 300K = 30x
27x + 300K = 30x [group like terms]
300K = 3x [subtract 27x from both sides]
100K = x [divide both sides by 3]
The total journey was 100 K
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