Question

there are 6 poles on a side of a 1 kilometre 200 metre long straight road such that there is a pole at the starting and end points of the road. if the poles are equally spaced, then what is the distance between each consecutive pole?

Answer 1

A•---•B---•C---•D---•E---•D

From the above figure ,

A,B,C,D,E and D are positions of 6 poles on a side of a 1 kilometre 200 metre long straight road such that there is a pole at the starting and end points of the road. If the poles are equally spaced .

Distance from A to D = 1 kilometre 200 metre

= 1000 m + 200 m

= 1200 m

/* According to the problem given */

$Let \: AB = BC = CD = DE = EF = x \: m$

$AF = 1200 \: m$

$\implies AB + BC + CD + DE + EF = 1200$

$\implies x + x + x + x + x = 1200$

$\implies 5x = 1200$

$\implies x = \frac{1200}{5}$

$\implies x = 240 \:m$

Therefore.,

$\red{Distance \: between \:each \: consecutive}$

$\red{ pole } \green { = 240 \:m }$

•••♪

Answer 2

Hello friend

Here is your answer

No. of poles on the side of the road=6

Length of the road= 1 km 200 m = 1,200 m

Distance between each consecutive pole= 1,200÷5= 2,400 m

∴ The distance between each consecutive pole= 2,400 m.

Hope it helped you

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