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A Can-do 1/4 of Work in 5 Days and B Can Do 1/3 of the Same Work in 10 Days. Find the Number of Days in Which Both Working Together Will Complete the Work. - Mathematics

Sum

A can-do `1/4` of work in 5 days and B can do `1/3` of the same work in 10 days. Find the number of days in which both working together will complete the work.

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Solution

A can-do `1/4` of work in = 5 days

A can-do 1 work in = 5 × 4 days

= 20 days

B can do `1/3` of work in = 10 days

B can do 1 work in = 10 × 3 days

= 30 days

A's 1-day work =`1/20`

B's 1-day work =`1/30`

(A+B)'s 1 day work =`1/20+1/30`

`=(3+2)/60`

`=5/60`

`=1/12`

∴ A and B working together will complete the work in = 12 days

Concept: Time and Work
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APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 10 Direct and Inverse Variations
Exercise 10 (E) | Q 10 | Page 133
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