a man travelled 2/5 of his journey by train 1/3 by taxi 1/6 by the bus and remaining 10 km by foot .Find the length of his total journey
Answers
Answer:
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
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Step-by-step explanation:
let total journey = x km
according to 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 100 km