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Shaheed Can Prepare One Wooden Chair in 3 Days and Shaif Can Prepare the Same Chair in 4 Days. If They Work Together, in How Many Days Will They Prepare: - Mathematics

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Question

Shaheed can prepare one wooden chair in 3 days and Shaif can prepare the same chair in 4 days. If they work together, in how many days will they prepare:

(i) one chair?
(ii)14 chairs of the same kind?

Sum
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Solution

Shaheed's 1 day's work = `1/3`

and Shaif's 1 day's work = `1/4`

Both one day's work `= 1/3 + 1/4 = (4 + 3)/12 = 7/12`

∴ Both can prepare the chair in =`12/7` days

`= 1 5/7` days

One chair is prepared in = `1 5/7` days

∴ 14 chairs will be prepared in = `12/7 xx 14 = 24` days.

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Chapter 7: Unitary Method (Including Time and Work) - Exercise 7 (C)

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Selina Concise Mathematics [English] Class 7 ICSE
Chapter 7 Unitary Method (Including Time and Work)
Exercise 7 (C) | Q 10
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