Question

a man travelled 2/5 of his journey by bus 3/4 of the remaining by motor bike and the rest by bicycle.if the distance travelled by bicycle is 15 km,find the distance travelled by bus​

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