sahil travelled 2 1/2 hours by train and 3/4 hour by bus to reach new Delhi from his village. how much time was taken to reach new Delhi
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Rachelle P. asked • 11/21/16
A man travelled 2/5 of his journey by train, 1/3 by taxi and 1/6 by bus and the remaining 10 kilometer by foot. Find the length of the total journey.
Well, it is not possible for me to travel 10 km by foot hence, that man is super human.
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David W. answered • 11/21/16
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Yes, 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]
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HERE IS YOUR ANSWER
TIME TAKEN BY TRAIN = 21/2 HOURS
TIME TAKEN BY BUS = 3/4 HOURS
TOTAL TIME TAKEN = 21/2 hours + 3/4 hours
= 42 + 3 / 4 hours
= 45 / 4 hours
= 11.25 hours