Shikha has an order from a golf course designer to put palm trees thro

1.	Shikha has an order from a golf course designer to put palm trees through a ( × 23) machine and then through a ( × 33) machine. She thinks she can do the job with a single repeater machine. What single repeater machine should she use?
Answer» Let W₁ be the work done by (x2³)machine. Let W₂ be the work done by (x3³) machine. Work done by both the machines is W_t = W₁x W W_t = 2³x 3³ W_t = 2 x 2 x 2 x 3 x 3 x 3 = 8 x 27 = 216 If a single repeater has to be used, then the machine is of the form (x A^m) where A and m are both natural numbers. 216 = 6 x 6 x 6 = 6³ A = 6, m = 3. Therefore, Shikha should use a (x6³) single repeater machine.

Shikha has an order from a golf course designer to put palm trees through a ( × 23) machine and then through a ( × 33) machine. She thinks she can do the job with a single repeater machine. What single repeater machine should she use?

Answer»

Let W₁ be the work done by (x2³)machine.

Let W₂ be the work done by (x3³) machine.

Work done by both the machines is W_t = W₁x W

W_t = 2³x 3³

W_t = 2 x 2 x 2 x 3 x 3 x 3 = 8 x 27 = 216

If a single repeater has to be used, then the machine is of the form (x A^m) where A and m are both natural numbers.

216 = 6 x 6 x 6 = 6³

A = 6, m = 3.

Therefore, Shikha should use a (x6³) single repeater machine.