Given:
50 ft piece of rope.
It takes 1 second to cut it into a one-foot piece.
To find:
Total time taken to cut the entire rope into one - foot pieces = ?
Solution:
Let us consider the length of rope left and time taken after each cut.
In 1st cut, time taken is 1 second, the rope will be 49 ft left.
In 2nd cut, total time taken is 2 seconds, the rope will be 48 ft left.
In 3 seconds, the rope will be 47 ft left.
:
In 10th cut, total time taken is 10 seconds, the rope will be 40 ft left.
In 11 seconds, the rope will be 39 ft left.
In 40 seconds, the rope will be 10 ft left.
In 41 seconds, the rope will be 9 ft left.
In 47 seconds, the will be 3 ft left.
In total time taken of 48 seconds, the rope left will be 2 ft.
Now, in order to cut this 2 ft rope into two 1 ft rope only 1 second will be required, because the rope left will itself be equal to 1 ft.
Total time taken to cut this 50 ft rope = 48 + 1 = 49 seconds.
So, the answer is 49 seconds.
Given :
We have to cut 50 ft long rope into 1 foot pieces. It takes 1 second to cut it into a one-foot piect.
To Find :
How long would it take to cut the entire rope into one-foot pieces.
Explanation :
The length of the rope = 50 feet.
To cut it into one-foot pieces we have to make number of cuts = 49 cuts
You can see the picture of 10 feet rope dividing into 10 parts by 9 cuts attached alongwith.
∵ Making one cut takes time = 1 second
∴ To cut 49 cuts takes time = 49 seconds
It will take 49 seconds to cut the entire rope into one-foot pieces.
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Answers & Comments
Given:
50 ft piece of rope.
It takes 1 second to cut it into a one-foot piece.
To find:
Total time taken to cut the entire rope into one - foot pieces = ?
Solution:
Let us consider the length of rope left and time taken after each cut.
In 1st cut, time taken is 1 second, the rope will be 49 ft left.
In 2nd cut, total time taken is 2 seconds, the rope will be 48 ft left.
In 3 seconds, the rope will be 47 ft left.
:
:
In 10th cut, total time taken is 10 seconds, the rope will be 40 ft left.
In 11 seconds, the rope will be 39 ft left.
:
:
In 40 seconds, the rope will be 10 ft left.
In 41 seconds, the rope will be 9 ft left.
:
:
In 47 seconds, the will be 3 ft left.
In total time taken of 48 seconds, the rope left will be 2 ft.
Now, in order to cut this 2 ft rope into two 1 ft rope only 1 second will be required, because the rope left will itself be equal to 1 ft.
So, the answer is 49 seconds.
Given :
We have to cut 50 ft long rope into 1 foot pieces. It takes 1 second to cut it into a one-foot piect.
To Find :
How long would it take to cut the entire rope into one-foot pieces.
Explanation :
The length of the rope = 50 feet.
To cut it into one-foot pieces we have to make number of cuts = 49 cuts
You can see the picture of 10 feet rope dividing into 10 parts by 9 cuts attached alongwith.
∵ Making one cut takes time = 1 second
∴ To cut 49 cuts takes time = 49 seconds
It will take 49 seconds to cut the entire rope into one-foot pieces.