Question

A can complete a piece of work in 12 days which
B and C can complete in 16 and 20 days
respectively. All the three of them started the work,
but A left after 4 days, B left 2 days before the
completion of the work. In how many days was the
work completed?
​

Answer 1

Given :

A = 12 days

B = 16 days

C = 20 days.

A = left 4 days before.

B = left 2 days before.

According to the question :

A = 12 days , Left 4 days before

= 12 - 4

= 8 days.

B = 16 days , Left 2 days before

= 16 - 2

= 14 days.

C = 20 days.

So, total number of days :

A + B + C

= 8 + 14 + 20

= 42 days.

Hence , They finished the work in 42 days.

.

Answer 2

QUESTION:-

✯ᴀ ᴄᴀɴ ᴄᴏᴍᴘʟᴇᴛᴇ ᴀ ᴘɪᴇᴄᴇ ᴏғ ᴡᴏʀᴋ ɪɴ 12 ᴅᴀʏs ᴡʜɪᴄʜ ʙ ᴀɴᴅ ᴄ ᴄᴀɴ ᴄᴏᴍᴘʟᴇᴛᴇ ɪɴ 16 ᴀɴᴅ 20 ᴅᴀʏs ʀᴇsᴘᴇᴄᴛɪᴠᴇʟʏ. ᴀʟʟ ᴛʜᴇ ᴛʜʀᴇᴇ ᴏғ ᴛʜᴇᴍ sᴛᴀʀᴛᴇᴅ ᴛʜᴇ ᴡᴏʀᴋ, ʙᴜᴛ ᴀ ʟᴇғᴛ ᴀғᴛᴇʀ 4 ᴅᴀʏs, ʙ ʟᴇғᴛ 2 ᴅᴀʏs ʙᴇғᴏʀᴇ ᴛʜᴇ ᴄᴏᴍᴘʟᴇᴛɪᴏɴ ᴏғ ᴛʜᴇ ᴡᴏʀᴋ. ɪɴ ʜᴏᴡ ᴍᴀɴʏ ᴅᴀʏs ᴡᴀs ᴛʜᴇ ᴡᴏʀᴋ ᴄᴏᴍᴘʟᴇᴛᴇᴅ?

ANSWER✔

$\Large\underline\bold{GIVEN,}$

$\sf\dashrightarrow A=12days$

$\sf\dashrightarrow B=16days$

$\sf\dashrightarrow C = 20 days.$

$\sf\dashrightarrow A = left \:4 \:days\: before.$

$\sf\dashrightarrow B = left \:2 \:days\: before.$

$\Large\underline\bold{TO\:FIND, }$

$\sf\therefore the\:days\:required\:to\:complete\:the\:work$

$\Large\underline\bold{SOLUTION,}$

ACCORDING TO THE QUESTION,

$\sf\therefore A = left \:4 \:days\: before.$

$\sf\therefore = 12 - 4$

$\sf\therefore= 8 \:days.$

$\large{\boxed{\sf{A=8\:days}}}$

$\sf\therefore B = left \:2 \:days\: before.$

$\sf\therefore 16-2$

$\sf\implies 14\:days$

$\large{\boxed{\sf{B=14\:days}}}$

$\sf\therefore number\:of\:days\:the\:work\:got\:over$

$\sf\implies A+B+C$

$\sf\implies 8+14+20$

$\sf\therefore 42\:days$

$\sf{\boxed{\sf{42\:days}}}$

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