Jaquez completed 1/8 of his test in 3/5 hour. If Jaquez's rate stayed the same, how much of his test was finished in one hour. Show Work!
(A) 3/40
(B) 1/24
(C) 1/12
(D) 5/24

Respuesta :

Answer:[tex]\dfrac{5}{24}[/tex]

Step-by-step explanation:

Let [tex]r[/tex] be the rate at which Jaquez completes his test.

Let [tex]x[/tex] part of test be completed by Jaquez in [tex]t[/tex] hours.

Then,

[tex]x=rt[/tex]

Given that Jaquez completed 1/8 of his test in 3/5 hour.

So,[tex]\frac{1}{8}=r\times \frac{3}{5}[/tex]

[tex]r=\frac{5}{24}[/tex]

To know how much he completes in one hour,substitute [tex]1[/tex] in the above equation.

So,[tex]x=r\times 1=\frac{5}{24}[/tex]

Jaquez completes [tex]\frac{5}{24}[/tex] of his test in [tex]1[/tex] hour

Answer:

Option (d)

5/24

Explanation:  

Hour taken to complete 1/8  of his test=3/5 hour

Suppose r is the rate at which Jackuez completes his test

For completing the test in t hours

The equation is

y= r t

where y is the part of test which will be completed in t hour

with the information given

substituting the values

[tex]\frac{1}{8}=r \frac{3}{5}[/tex]

[tex]r=\frac{5}{24}[/tex]

now when t=1 hour

substituting the value

[tex]\mathrm{x}=\frac{5}{24} \times 1[/tex]

[tex]\mathrm{x}=\frac{5}{24}[/tex]

hence at 1 hour his test was completed [tex]\frac{5}{24}[/tex]