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?
Answers
Step-by-step explanation:
let the total length of his journey be x km
given,
he travelled two-fifth of his journey by train
I.e., distance travelled by train is 2x/5 km
he travelled one-third by bus
I.e., distance travelled by bus is x/3 km
he travelled one-fourth by car
I.e., distance travelled by Cari's x/4 km
remaining 3 km on foot
therefore,2x/5+x/3+x/4+3=x
2x/5+x/3+x/4+3=x
(24x+20x+15x+180)/60=x
(59x+180)/60=x
59x+180=60x
60x-59x=180
x=180
therefore total length of his journey is 180km
Answer:
1
supreetwarraich5096
01.10.2017
Math
Secondary School
+13 pts
Answered
A man travelled two fifth of his journey by train, one third of his journey by bus , one fourth by car and the remaining 3km on foot. What is the length of his total journey
2
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Golda
Golda
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
Answer.