This GMAT quant question is a word problem in work and time. Concept: framing equations when two people with different efficiencies (rate at which they work) work together to complete a task. An easy, GMAT 600 level, quantitative reasoning question.

Question 9: Ram, who is half as efficient as Krish, will take 24 days to complete a task if he worked alone. If Ram and Krish worked together, how long will they take to complete the task?

- 16 days
- 12 days
- 8 days
- 6 days
- 18 days

From INR

Ram takes 24 days to complete the task, if he works alone.

Krish is twice as efficient as Ram is. So, working alone, Krish will take half the time to complete the task.i.e., 12 days.

Ram will complete \\frac{1}{24})^{th} of the task in a day.

Krish will complete \\frac{1}{12})^{th} of the task in a day.

When they work together, they will complete \\frac{1}{24} + \frac{1}{12} = \frac{1}{8})^{th} of the task in a day.

Therefore, when they work together they will complete the task in 8 days.

Copyrights © 2016 - 23 All Rights Reserved by Wizako.com - An Ascent Education Initiative.

Privacy Policy | Terms & Conditions

GMAT^{®} is a registered trademark of the Graduate Management Admission Council (GMAC). This website is not endorsed or approved by GMAC.

GRE^{®} is a registered trademarks of Educational Testing Service (ETS). This website is not endorsed or approved by ETS.

SAT^{®} is a registered trademark of the College Board, which was not involved in the production of, and does not endorse this product.

Wizako - GMAT, GRE, SAT Prep

An Ascent Education Initiative

14B/1 Dr Thirumurthy Nagar 1st Street

Nungambakkam

Chennai 600 034. India

**Mobile:** (91) 95000 48484

**WhatsApp:** WhatsApp Now

**Email:** learn@wizako.com

Leave A Message