Assume that a program consists of integer and floating-point instructions. 60% of the total execution time is spent on floating point instructions and the remaining 40% is on integer instructions. How much faster should we run the floating-point instructions to execute entire program 1.25 times faster

the floating-point instructions  should be run 1.5 times faster in order to execute entire program 1.25 times faster

Explanation:

Given that:

a program consists of integer and floating-point instructions. 60% of the total execution time is spent on floating point instructions and the remaining 40% is on integer instructions.

Let the integer be the total execution time = V

The  floating-point instructions = 60%

The integer instruction = 40%

The time spent on the floating-point instruction = 60/100 × V

= 0.6 V

The time spent on t he integer instruction = 40/100 × V

= 0.4 V

However; How much faster should we run the floating-point instructions to execute entire program 1.25 times faster

If we are to execute the entire program 1,25 times faster;

The new execution time = V/1.25

Assuming the new time spent on floating-point instruction = W

∵

W + 0.4 V = V/1.25

W = V/1.25 - 0.4 V

W = (V - 0.5V)/1.25

W = 0.4V

the new time spent on floating-point instruction = W = 0.4 V

The speed required to make the floating -point instruction to run faster = 0.6V/.4 V

= 1.5

Hence,  the floating-point instructions  should be run 1.5 times faster in order to execute entire program 1.25 times faster

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