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

Option (d)

5/24

Step-by-step 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

`(1)/(8)=r (3)/(5)`

`r=(5)/(24)`

now when t=1 hour

substituting the value

`\mathrm{x}=(5)/(24) * 1`

`\mathrm{x}=(5)/(24)`

hence at 1 hour his test was completed
`(5)/(24)`

Answer 2

Answer:
`(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,
`(1)/(8)=r* (3)/(5)`

`r=(5)/(24)`

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

So,
`x=r* 1=(5)/(24)`

Jaquez completes
`(5)/(24)` of his test in
`1` hour