# GRE® Quant Practice | Rates Q4

#### GRE Numeric Entry Question | Work Time

The GRE maths sample question given below is a work and time question in Rates. A medium difficulty GRE Numeric Entry practice question. This GRE sample question helps you understand the concept of framing equations for Work Time.

Question 4: If machine A polishes x units in 12 minutes and machine B polishes 5x units in 40 minutes, in how many minutes will A and B, working together, polish 50x units.

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### Explanatory Answer | GRE Numeric Entry Practice Question 4

#### Given Data

Machine A polishes x units in 12 minutes.
So, in 1-minute, Machine A will polish $$frac{x}{12}$ units. Machine B polishes 5x units in 40 minutes ⇒ Machine B polishes x units in $\frac{40}{5}$ = 8 minutes. So, in 1-minute, Machine B will polish $\frac{x}{8}$ units. #### Compute Time taken by A & B together to polish 50x units In 1-minute, Machine A and B, together, will polish $\frac{x}{12}$ + $\frac{x}{8}$ units ⇒ $\frac{$2 + 3$x}{24}) = $$frac{5x}{24}$ units in 1 minute. Cross multiplying, in 24 minutes the 2 machines, together, will polish 5x units. Time taken to polish 50x units: The 2 machines will take 24 × 10 = 240 minutes. #### 240 minutes is the correct answer #### GRE Online Course - QuantTry it free! Register in 2 easy steps and Start learning in 5 minutes! #### Already have an Account? #### GRE Live Online Classes Next Batch December 15, 2023 ## Additional Practice Questions in Rates | Time Speed Distance & Work Time Pipes Cisterns ##### Where is Wizako located? Wizako - GMAT, GRE, SAT Prep An Ascent Education Initiative 14B/1 Dr Thirumurthy Nagar 1st Street Nungambakkam Chennai 600 034. India Work @ Wizako ##### How to reach Wizako? Mobile:$91) 93800 48484
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