Michael has a set of 24 math problems to do for homework. Michael completed 1/4 of his homework in 3/4 of an hour. If he continues at this rate , what fraction of his homework would he complete in one hour ? A. 3/8 B. 2/3 C. 4/3 D. 3/2

Respuesta :

Given:

Total number of problems = 24

Michael completed [tex]\dfrac{1}{4}[/tex] of his homework in [tex]\dfrac{3}{4}[/tex] of an hour.

To find:

What fraction of his homework would he complete in one hour.

Solution:

We have,

Part of work done in [tex]\dfrac{3}{4}[/tex] of an hour [tex]=\dfrac{1}{4}[/tex]

Part of work done in an hour [tex]=\dfrac{4}{3}\times \dfrac{1}{4}[/tex]

                                                [tex]=\dfrac{1}{3}[/tex]

Therefore, he complete [tex]\dfrac{1}{3}[/tex] of his homework in 1 hour. Hence, all options are incorrect.