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

- \\frac{√33 + 4}{3})
- \\frac{√33 + 5}{3})
- \\frac{√33 + 6}{3})
- \\frac{√33 + 7}{3})

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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}) |

\\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 = 2n

2n

n

(n - \\frac{3}{4}))

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})

Choice A is the correct answer.

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