# IPMAT Question Paper 2020 | IPM Indore Quants

###### IPMAT Sample Paper | IPMAT Question Paper | Question 20

IPMAT 2020 Question Paper IPM Indore Quantitative Ability. Solve questions from IPMAT 2020 Question Paper from IPM Indore and check the solutions to get adequate practice. The best way to ace IPMAT is by solving IPMAT Question Paper. To solve other IPMAT Sample papers, go here: IPM Sample Paper

Question 20 : Three workers working together need 1 hour to construct a wall. The first worker, working alone, can construct the wall twice as fast at the third worker, and can complete the task an hour sooner than the second worker. Then, the average time in hours taken by the three workers, when working alone, to construct the wall is

1. $$frac{√33 + 4}{3}$ 2. $\frac{√33 + 5}{3}$ 3. $\frac{√33 + 6}{3}$ 4. $\frac{√33 + 7}{3}$ ## 🎉 Fabulous 3,500 off on XAT '22 crash course Valid until 1st Dec #### 2IIM : Best Online CAT Coaching. ### Video Explanation ## Best CAT Coaching in Chennai #### CAT Coaching in Chennai - CAT 2021Online Batches Available Now! ### Explanatory Answer Worker Time taken$in hours) Work done by each worker in 1 hour
W<sub>1</sub> n $$frac{1}{n}$ W<sub>2</sub> n+1 $\frac{1}{n+1}$ W<sub>3</sub> 2n $\frac{1}{2n}$ All of them together can complete their work in 1 hour. $\frac{1}{n}$ + $\frac{1}{n+1}$ + $\frac{1}{2n}$ = 1 $\frac{3}{2n}$ + $\frac{1}{n + 1}$ = 1 $\frac{3$n + 1$ + 2n}{2n(n + 1)}) = 1
3n + 3 + 2n = 2n2 + 2n
2n2 -3n - 3 = 0
n2 - $$frac{3}{2}$ n = $\frac{3}{2}$$n - $$frac{3}{4}$)2 = $\frac{33}{16}$ n = $\frac{3}{4}$ ± $\frac{√33}{4}$ n = $\frac{3 + √33}{4}$ Now, we need to find the average which is $\frac{4n + 1}{3}$ Substituting n, we get the answer to be $\frac{4 + √33}{3}$ ##### The answer is $\frac{√33 + 4}{3}$ Choice A is the correct answer. ###### Best Indore IPM & Rohtak IPM CoachingSignup and sample 9 full classes for free. Register now! ###### Already have an Account? ##### Where is 2IIM located? 2IIM Online CAT Coaching A Fermat Education Initiative, 58/16, Indira Gandhi Street, Kaveri Rangan Nagar, Saligramam, Chennai 600 093 ##### How to reach 2IIM? Phone:$91) 44 4505 8484
Mobile: (91) 99626 48484 / 94459 38484
WhatsApp: WhatsApp Now
Email: info@2iim.com