Question

A monkey is trying to climb a coconut tree. He takes 3 steps forward and slips

back 2 steps downward. Each forward step is 30 cm and each backward step is

40cm. How many steps are required to climb a 100cm tree?
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Answer 1

Answer: 50 steps are required to climb a 100cm tree.

Step-by-step explanation:

Each time the monkey tries to go up:

Climb up $= 3 * 30cm = 90 cm$ ( takes 3 steps)

Slips downward $= 2 *40cm = 80cm$ (takes 2 steps)

Total number of steps taken in each forward attempt $= 3 steps+ 2 steps$

                                                                                          $= 5 steps$

Effectively moves $10cm$ upwards $(90cm-80cm =10cm)$ $= \frac{100cm}{10cm}$

                                                                                          $= 10steps$

Therefore, the monkey needs to cover $(10*5)steps = 50steps$ to  reach the top.

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Answer 2

Answer: 50 steps

Step-by-step explanation:

To Find : Number of steps required to climb a tree .

Given : A monkey takes 3 steps forward and then slips 2 steps backward. Each forward step is 30 cm and backward step is 40 cm.

Solution :

According to the given question, each time the monkey tries to go up he takes 3 steps. Each step is 30 cm forward.

∴ For climbing up , he takes 3 steps = 3 × 30 = 90 cm

∴ For slipping gown, he takes 2 steps =  2 × 40 = 80 cm

∴ Total number of steps taken in each forward attempt = 3 steps + 2 steps  = 5 steps

∴For effectively moves  upwards  , he moves (90 - 80 ) cm = 10 cm

∴ Number of steps needed for moving 10 cm upward = $\frac{100 cm}{10 cm}$  = 10 steps

∴ Number of steps needed to be covered to reach the top = 10 × 5 = 50 steps.

Therefore, the monkey needs to cover 50 steps  reach the top.

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