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 solve the question with an explanation. I will mark you as brainlist

Answer 1

Answer: 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

Step-by-step explanation: please mark me as brainliest.

Answer 2

Answer:

train=2/5

bus=1/3

car=1/4

foot=3 km

2/5+1/3+1/4

lcm=60

2/5*12=24/60

1/3=*20=20/60

1/4=*15=15/60

24+20+15=59/60

total distance=59/60