A man travelled 2/5th of his journey by train,1/3rd by taxi,1/6th by bus and remaining 10km on foot .find the length of his total journey
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Let the total journey be x km, then
according to the question ;
(2/5) of x = by train
(1/3) of x = by taxi
(1/6) of x = by bus
Remaining = 10 km --> by foot
Remaining distance = x - [(2/5)x+(1/3)x+(1/6)x]
10 = x - [(12+10+5)/30]x
10 = x - (27/30)x
10 = x-(9/10)x
(1/10)x = 10
x = 10×10
x = 100
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Hence the length of the total journey is 100km
according to the question ;
(2/5) of x = by train
(1/3) of x = by taxi
(1/6) of x = by bus
Remaining = 10 km --> by foot
Remaining distance = x - [(2/5)x+(1/3)x+(1/6)x]
10 = x - [(12+10+5)/30]x
10 = x - (27/30)x
10 = x-(9/10)x
(1/10)x = 10
x = 10×10
x = 100
------------------------------------------------
Hence the length of the total journey is 100km
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163
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