It takes 10 minutes to cut a rod into 2 equal pieces. How many minutes will it take to cut a similar rod by a similar process into 5 equal pieces?
a. 5 minutes
b. 10 minutes
c. 25 minutes
d. 40 minutes
e. 50 minutes
Answers
Answer:
d. 40 minutes
Step-by-step explanation:
since in order to cut the rod into 5 equal pieces we have to make 4 cuts.
Hence the cost of 4 Cuts = 40 minutes
It takes 25 minutes to cut a similar rod by a similar process into 5 equal pieces
Solution:
Given that,
It takes 10 minutes to cut a rod into 2 equal pieces
Therefore,
2 equal pieces = 10 minutes
How many minutes will it take to cut a similar rod by a similar process into 5 equal pieces?
Let,
5 equal pieces = x minutes
Therefore,
2 equal pieces = 10 minutes
5 equal pieces = x minutes
This forms a proportion and we can solve the sum by cross multiplying
Thus it takes 25 minutes to cut a similar rod by a similar process into 5 equal pieces
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