In the laying of a water pipeline of length 5 km, a contractor completed km in the first
6
15
stage and in the second stage, he constructed km. What is the length of the remaining
2
10
pipeline to be constructed?
Answers
Given :- In the laying of a water pipeline of length 5 km, a contractor completed (6/15) km in the first stage and in the second stage, he constructed (2/10) km. What is the length of the remaining pipeline to be constructed ?
Solution :-
→ Total length of water pipeline = 5 km .
now,
→ Contractor constructed in first stage = (6/15) km.
then,
→ water pipeline left to be constructed = 5 - (6/15) = (15 * 5 - 6)/15 = (75 - 6) / 15 = (69/15) = (23/5) km .
now,
→ Contractor constructed in second stage = (2/10) = (1/5) km.
therefore,
→ water pipeline left to be constructed after second stage = (23/5) - (1/5) = (23 - 1)/5 = (22/5) = 4(2/5) km . (Ans.)
Hence, the length of the remaining pipeline to be constructed is 4(2/5) km .
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