Question

A rod was cut into three pieces. The lengths of the three pieces are in the ratio 5:3:2. If the shortest is 25cm long, how long is the rod

Answer 1

Answer:

Total length of rod = 125 cm

Step-by-step explanation:

We have,

Rod cut into three pieces of the ratio

5 : 3 : 2.

Let the length of the cut rod be 5x, 3x, and 2x.

Now, shortest among them must be 2x as

2 × x is less than 3 × x or 5 × x.

And it is given that,

Shortest piece = 25 cm

2x = 25

x = 25/2 ------ 1

Now,

Total length of rod = 5x + 3x + 2x

= 10x

From equation 1 we get that,

Total length of rod = 10x = 10(25/2)

= 5 × 25

= 125 cm

Hence,

Total length of rod = 125 cm

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