SOLUTION: An electric company is placing utility poles along a road. It is determined that 5 fewer poles per kilometre would be necessary if the distance between the poles were increased by

Question 132098: An electric company is placing utility poles along a road. It is determined that 5 fewer poles per kilometre would be necessary if the distance between the poles were increased by 10metres. How many poles are being placed each km?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
= number of poles in a km
= initial distance between poles in meters
(1) add 1 to account for poles at start and finish
(2)
Add to both sides of (2)

Set the right side equal to right side of (1)

multiply both sides by

divide through by

complete the square

m between poles
check answer:
(1)
(2)
---------------------------------
(1)

---------------------------------
(2)

OK
RELATED QUESTIONS
10 wooden poles are be to be used for pillars and the length of the poles form an A.P. if (answered by josgarithmetic)

25 light poles are to be installed at equal intervals along a city street and at each... (answered by ikleyn)

Twelve iron poles are to be used for pillars and the lengths of the poles from an... (answered by rothauserc)

Tweve iron poles are to be used for pillars and the length of the poles for an arithmetic (answered by ikleyn)

A guy wire is 20’ long and is attached to the top of power poles that are 8’ apart.... (answered by lotusjayden,ikleyn)

A wire is run between the tips of two poles. One pole is 23 ft. taller than the other... (answered by stanbon)

A wire is run between the tips of two poles. One pole is 23 ft taller than the other... (answered by ankor@dixie-net.com)

Suppose that telephone poles that are 18feet tall suspend a telephone wire off the ground (answered by edjones)

Giraldo is building a tent. He has two 3-foot long poles. He also has a 5-foot pole, a... (answered by JulietG)