+1 vote
238 views

Suppose that a computer program takes $100$ seconds of execution time on a computer with multiplication operation responsible for $80$ seconds of this time. How much do you have to improve the speed of the multiplication operation if you are asked to execute this program four times faster?

1. $14$ times faster
2. $15$ times faster
3. $16$ times faster
4. $17$ times faster

edited | 238 views

+1 vote
We know, Speed always inversely proportional to time $S\rightarrow \frac{1}{t}$

Here it is given $100sec.$ execution time.

Among which $80 sec$ for Multiplication operation and $20sec.$ for other operation

So, to improve the execution time, we must need to improve Multiplication time.

Other operation time will not change, because these are constant time taken by some hardware operation .

Now , to make it $4$ time faster, time will decrease when speed increase.

So, time will be $\frac{1}{4}$ th of original time, i.e. $25 sec.$

Therefore, time for Multiplication operation $=\left ( 25-20 \right )=5sec$

So, multiplication speed increased $=\frac{80}{5}=16$ times

Hence ans $3)$
by Veteran (117k points)
16 times
by (259 points)
The text contains a mathematical question related to improving the speed of a multiplication operation in a computer program to make the program execute four times faster. The question is followed by a detailed solution that calculates the required improvement in the speed of the multiplication operation.
single_question_with_answer
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
+1 vote
238 views

Suppose that a computer program takes $100$ seconds of execution time on a computer with multiplication operation responsible for $80$ seconds of this time. How much do you have to improve the speed of the multiplication operation if you are asked to execute this program four times faster?

1. $14$ times faster
2. $15$ times faster
3. $16$ times faster
4. $17$ times faster

edited | 238 views

+1 vote
We know, Speed always inversely proportional to time $S\rightarrow \frac{1}{t}$

Here it is given $100sec.$ execution time.

Among which $80 sec$ for Multiplication operation and $20sec.$ for other operation

So, to improve the execution time, we must need to improve Multiplication time.

Other operation time will not change, because these are constant time taken by some hardware operation .

Now , to make it $4$ time faster, time will decrease when speed increase.

So, time will be $\frac{1}{4}$ th of original time, i.e. $25 sec.$

Therefore, time for Multiplication operation $=\left ( 25-20 \right )=5sec$

So, multiplication speed increased $=\frac{80}{5}=16$ times

Hence ans $3)$
by Veteran (117k points)
16 times
by (259 points)
user
The text contains a mathematical question related to improving the speed of a multiplication operation in a computer program to make the program execute four times faster. The question is followed by a detailed solution that calculates the required improvement in the speed of the multiplication operation.

TYPE: SINGLE_QUESTION_WITH_ANSWER