English, asked by govindyadav30, 3 months ago

a lizard climbs a vertical smooth wall . it climbs 12 meters the first hour and slips 7 meters​

Answers

Answered by dualadmire
2

The complete question is:

A lizard climbs a vertical smooth wall. It climbs 12 meters the first hour and slips 7 meters the next hour. If the wall is 37 meters high, the time it would  take to reach the top would be?

Given:

Distance climbed by the lizard in a hour = 12 meters

Distance it slips the next hour = 7 meters

Height of the wall = 37 meters

To find:

Time taken by the lizard to reach at the top of the wall.

Solution:

In 2 hours the lizard would climb 12 - 7 meters = 5 meters

The lizard can climb 25 meters in 10 hours

The distance left = 37- 25 meters = 12 meters, in this time the lizard will not slip as it will reach to the top of the wall.

Time taken to climb 12 meters = 1 hour

Total time taken = 10 hours+ 1 hour = 11 hours

Therefore the lizard will reach at the top of the wall in 11 hours.

Answered by amitnrw
2

Given :  

A lizard climbs a vertical smooth wall. It climbs 12 meters the first hour and slips 7 meters the next hour.

the wall is 37 meters high,

To Find : the time it would  take to reach the top would be

Solution:

Time   in hr       Height  in m

1                          12

2                         5      ( 12 - 7)

3                         17     ( 5 + 12)

4                         10     (17 - 7)

5                         22     ( 10 + 12)

6                         15     (22 - 7)

7                         27     ( 5 + 12)

8                         20     (27 - 7)

9                         32     (20 + 12)

10                        25     (32 - 7)

11                         37     ( 25 + 12)    

Lizard will take 11 hrs to reach top of the wall.

Another way :

As lizard has to reach 37 m  so once lizard reach 37 m it would not slip as its top

so last hr after which lizard would not slip will be

when  lizard has reached  ≥ 37 - 12    m

=>   lizard has reached  ≥  25 m

in every two hours lizard go = 12 - 7 = 5 m

in 2 * 5 = 10 hrs lizard will cover  25 m

Hence in 11th hour Lizard will reach at top

25 + 12 = 37 m

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