Question

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

Answer 1

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

$\frac{1}{8}=r \frac{3}{5}$

$r=\frac{5}{24}$

now when t=1 hour

substituting the value

$\mathrm{x}=\frac{5}{24} \times 1$

$\mathrm{x}=\frac{5}{24}$

hence at 1 hour his test was completed $\frac{5}{24}$

Answer 2

Answer:$\dfrac{5}{24}$

Step-by-step explanation:

Let $r$ be the rate at which Jaquez completes his test.

Let $x$ part of test be completed by Jaquez in $t$ hours.

Then,

$x=rt$

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

So,$\frac{1}{8}=r\times \frac{3}{5}$

$r=\frac{5}{24}$

To know how much he completes in one hour,substitute $1$ in the above equation.

So,$x=r\times 1=\frac{5}{24}$

Jaquez completes $\frac{5}{24}$ of his test in $1$ hour