Question

A man travelled two-fifth of his journey by train, one-third by bus, one-fourth by car and
the remaining 3 km on foot. What is the length of his total journey?please answer ×d​

Answer 1

Hey mate!

Solution :-

Let the length of the total journey be x km

So, according to the question.

2/5th part is travelled by train = 2x/5 km

1/3rd part is travelled by bus = x/3 km

1/4th part is travelled by the car = x/4 km

Remaining 3 km is travelled by foot = 3 km

⇒ 2x/5 + x/3 + x/4 + 3 = x

Taking L.C.M. of the denominators and then solving it (L.C.M. is 60).

⇒ (24x + 20x + 15x + 180)/60 = x

⇒ (59x + 180)/60 = x

⇒ 59x + 180 = 60x

59x - 60x = - 180

⇒ - x = - 180

⇒ x = 180

Hence, length of the total journey is 180 km

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Hope it helps.

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Answer 2

Answer:

180km

180kmStep-by-step explanation:

let the journey be xkm

(2/5of x)+(1/3 of x) + (1/4 of x) + 3= x

(24x + 20x + 15x + 180)/ 60 = x

59x +180= 60x

x = 180km