In a certain factory, hours worked by each employee in excess of 40...

Option A.
The gross pay for the overtime hours is $30.
He worked for two hours overtime at 1.5 rate. Thus he worked worth 3 hours of normal pay.
3 hours of normal pay = $30 --> 1 hour of normal pay = $10


Option B. Earned $30 more than previous week. Incase he worked overtime even the previous week, we cannot determine the overtime hours and hence the normal rate.

Therfore A alone is sufficient.

Hope this helps.

Suppose regular pay is $x per hour.

For last week:

Gross pay of employee: 40x+2*(1.5x) = 43x.

Statement 1
Overtime payment is $30.
3x = 30.
x is known
Gross pay for the week is known.
Statement (1) is sufficient.

Statement 2
No data about what employee got in the week before last is available. Not Sufficient.

Answer: A

(1) Let regular payment is $x per hour

Gross overtime \(=1.5x(42-40)=$30\); Sufficient

(2) No information for the previous week or last week's pay is given. Insufficient.

The answer is A
_________________

Solution:

We need to determine the employee’s gross pay for the hours worked last week. If we let x be the regular hourly rate, then 1.5x will be the overtime hourly rate. Since the employee worked 42 hours last week, his or her gross pay for last week, in term of x, will be:

40x + 2(1.5x) = 40x + 3x = 43x

Therefore, if we can determine the value of x, we can determine the employee’s gross pay last week. Also, notice that 40x is his or her gross pay for the regular 40 hours and 3x is the employee’s gross pay for the overtime of 2 hours.

Statement One Alone:

We can create the equation:

3x = 30

x = 10

Therefore, the employee’s gross pay last week was 43(10) = $430. Statement one alone is sufficient.

Statement Two Alone:

This does not allow us to determine the employee’s gross pay last week since we don’t know the number of hours he or she worked the week before last week. Statement two alone is not sufficient.

Answer: A
_________________

So from I) We can deduce that the money earned by the worker for working two overtime hours is 30$
So 30 = 1.5x where x is the normal hourly rate
We do not need to find the x fir this question only getting till here is enough to know that we can calculate the gross pay last week
From ii) We do not know how many hours the worker worked last week thus we can not find the value of hourly wage thus gross is also not possible.

Therefore ans is option A

Posted from my mobile device

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________