ram travels 4/9th of total journey by bus, 5/18th by rail and remaining 10 km on foot.find the dostance of total jouney
Answers
Answered by
3
36km
Answer is in the attachment
Attachments:
Answered by
5
Answer:
The total distance of the journey is 36 km
Step-by-step explanation:
Let the total journey be "x". We are given:
4/9 of total journey is by bus and 5/18 of the total journey is by rail and the remaining is 10 km.
Now, 4/9 and 5/18 of the journey together account for 13/18 of the journey.
[4/9 + 5/18 = 8/18 + 5/18 = 13/18]
Thus, 5/18 of the journey remains. [1 -(13/18) = 5/18]
This 5/18 of the total journey is 10km (as given in the problem)
Thus, 5x/18 = 10
5x = 18*10
5x = 180
x = 36
Verify:
Total journey = 36km
4/9 of journey = 4/9*36 = 16
5/18 of journey = 5/18*36 = 10
The remaining part of the journey = 36 - (16+10) = 36 - 26 = 10
Similar questions