A alone can complete a work in 16 days and B alone in 12 days. Starting with A, they work on alternate days. The total work will be completed in

Report

Report an issue

Name

Email

Message

Submit

Cancel

RRB ASSISTANT LOCO PILOT (Allahabad) 2010 click here to view all questions

A alone can complete a work in 16 days and B alone in 12 days. Starting with A, they work on alternate days. The total work will be completed in

A12 days

B13 days

C13 $\frac{5}{7}$ days

D13 $\frac{3}{4}$ days

All DiscussionsClick here to write answer

Correct ansswer is:  $13 \frac{3}{4} \text{ days}$ Explanation: A's rate of work $= \frac{1}{16}$ B's rate of work = $=\frac{1}{12}$ In 2 days, A and B complete  $\frac{1}{16} + \frac{1}{12}$$=\frac{ (3+4)}{48}$ $= \frac{7}{48}$ of the work In $6\times2 = 12$ days, they complete $\frac{(7\times6)}{48}$ $= \frac{42}{48}$ of the work In 13 days, they complete $\frac{42}{48} + \frac{1}{16} = \frac{45}{48}$ of the work Remaining work $= \frac{3}{48}$ B can do $\frac{1}{12} = \frac{4}{48}$ So it takes  $13 \frac{3}{4}$or 13.75 days to complete. rahul ? answered Jan 11 '2020 at 18:9 All Comments

Post your answers here:

Rich Text Editor, message-ans

Editor toolbarsClipboard/Undo Cut Copy Paste Paste as plain text Paste from Word Undo RedoEditing Spell Check As You TypeLinks Link Unlink AnchorInsert Image Math Table Insert Horizontal Line Insert Special CharacterTools MaximizeDocument SourceBasic Styles Bold Italic Strikethrough Remove FormatParagraph Insert/Remove Numbered List Insert/Remove Bulleted List Decrease Indent Increase Indent Block QuoteStylesStylesStylesFormatFormatabout About CKEditor

Press ALT 0 for help

◢Elements path 

Post

Post your comments here:

Message

140 remaining

Post

Cancel