Question

One-fourth of a pole is painted red,
two-fifth is painted blue and the remaining
21 m is painted green. Find the height of
the pole.​

Answer 1

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1/3 of a pole is painted red. 1/2 of it is painted blue. Three feet of the pole is painted green. What is the height of the pole?

Total length of red and blue coloured pole

1/ 3 + 1/2

(2 + 3)/ 6

=5 / 6

Remaining pole length, which is green.

1 - 5 / 6

(6 - 5) / 6

=1/6

This 1/ 6 pole length is equal to 3 feet

Let the pole length be x

1/6 x = 3 feet

x / 6 = 3 feet

Therefore x = 3 × 6= 18 feet

Answer total pole length is 18 feet

Red coloured portion 1/3 of 18 ft

1/3 × 18 ft

18ft / 3 = 6 ft.

Blue coloured portion 1/2 of 18 ft

1/2 × 18 ft

18 / 2 = 9 ft.

Green coloured portion 3 feet ( given)

Total pole height = 6 ft red + 9ft blue + 3 ft green= 18 ft.

Answer total pole height is 18 feet

Answer 2

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Let the height of the pole be 'h' metres.

According to the problem,

$= \frac{h}{4} + \frac{2h}{5} + 21 = h \\ = \frac{5h + 8h + 420}{20} = h \\ = 13h + 420 = 20h \\ = 7h = 420 \\ = h = 60$

Therefore, length of the pole is 60m.