Question

1/3 part of a pole is in mud, 1/5 part in
water and 14m is above water. The
total length of pole is
(a) 20m
(b) 30m
(c) 10m
(d) 40m​

Answer 1

Answer:

30 m

Step-by-step explanation:

Here $\frac{1}{3}$ part of a pole is in mud and $\frac{1}{5}$ part is in water.

Length of pole above water is 14m

Now, the total portion sub-merged under water and mud is

=$\frac{1}{3}$+$\frac{1}{5}$

=$\frac{5+3}{15}$

=$\frac{8}{15}$

Thus, the part of pole outside water is = 1-$\frac{8}{15}$

                                                               =$\frac{15-8}{15}$

                                                                =$\frac{7}{15}$

Now, let the total length be x. Then,

$\frac{7}{15}$× x = 14

or, $\frac{7x}{15}$= 14

or, 7x = 14 × 15

or, x = $\frac{210}{7}$

or, x = 30

Hence, value of x is 30m.

Thus, the total length of pole is 30m