Workers at Companies X and Y are paid the same base hourly rate. Worke

Question

Workers at Companies X and Y are paid the same base hourly rate. Workers at company X are paid 1.5 times the base hourly rate for each hour worked per week in excess of the first 37, while workers at Company Y are paid 1.5 times the base hourly rate for each hour worked per week in excess of the first 40. In a given week, how many hours must a Company X worker work in order to receive the same pay as a company Y worker who works 46 hours?

A. 46
B. 45
C. 44
D. 43
E. 42

A. 46
B. 45
C. 44
D. 43
E. 42

bangu · Answer

Y workers salary for 46 hours = 40*X + 6*1.5X = 40X + 9X = 49X (assuming X as base rate)
X workers salary for 37 hours = 37*X = 37X
Difference = 49X - 37X = 12X
Time effort needed to compensate for difference = 12X/1.5X = 8 Hours
Total effort for X worker = 37 + 8 = 45 Hours

Answer B

CounterSniper · Answer

Company Y workers in 46 hours will earn 40x+6(1.5x)=49x where x is the base rate
Company X workers should work an additional 49x-37x/1.5x=12x/1.5x= 8 hours 
therefore 37+8=45 hours

deaddumbledore · Answer

An alternate way to look at the problem is to compare Base Working hours.

40 hours of Base pay for Y = 37 Hours base pay of X + 2 Hours of Excess work( 1.5*2 = pay for 3 hours of base work).
Since Excess hour pays are same for both we just add to get our answer i.e 37+2+6= 45

deaddumbledore · Answer

An alternate way to look at the problem is to compare Base Working hours.
 
 40 hours of Base pay for Y = 37 Hours base pay of X + 2 Hours of Excess work( 1.5*2 = pay for 3 hours of base work). 
 Since Excess hour pays are same for both we just add to get our answer i.e  37+2+6= 45

Rohanx9 · Answer

Take 37 as the orindary base working hours.

Company Y: Pay above base 37 hours = 3 + 1.5*6 = 12. 
Company X: 12 hours work can be covered in extra 12/1.5 = 8 hours.

Hours worked = 37 + 8 = 45.

Workers at Companies X and Y are paid the same base hourly rate. Worke

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards

GMAT Problem Solving (PS) Questions

Workers at Companies X and Y are paid the same base hourly rate. Worke

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards