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सी.आई.एस.सी.ई.आईसीएसई ICSE Class 8

A and B Working Together Can Mow a Field in 56 Days and with the Help of C, They Could Have Mowed It in 42 Days. How Long Would C Take by Himself? - Mathematics

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प्रश्न

A and B working together can mow a field in 56 days and with the help of C, they could have mowed it in 42 days. How long would C take by himself?

योग
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उत्तर

(A+B) can mow a field in = 56 days

(A+B+C) can mow a field in = 42 days

∴ (A+B)'s 1 day work =`1/56`

(A+B+C)'s 1 day work =`1/42`

C's 1 day work =`1/42-1/56`

`=(4-3)/168`

`=1/168` 

L.C.M. = 2 × 7 × 3 × 4 = 168

∴ C can do the work in = 168 days

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Time and Work
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अध्याय 10: Direct and Inverse Variations - Exercise 10 (E) [पृष्ठ १३३]

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सेलिना Concise Mathematics [English] Class 8 ICSE
अध्याय 10 Direct and Inverse Variations
Exercise 10 (E) | Q 5 | पृष्ठ १३३

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