Question

solve it fast........ ​

Answer 1

GIVEN :-

• A ᴀʟᴏɴᴇ ᴄᴀɴ ᴅᴏ ᴀ ᴡᴏʀᴋ ɪɴ 4 ᴅᴀʏs .

• B ᴀʟᴏɴᴇ ᴄᴀɴ ᴅᴏ ᴀ ᴡᴏʀᴋ ɪɴ 6 ᴅᴀʏs .

TO FIND :-

• Tʜᴇ ᴛɪᴍᴇ ᴛʜᴇʏ ᴡᴏᴜʟᴅ ᴛᴀᴋᴇ ɪғ ᴛʜᴇʏ ᴡᴏʀᴋ ᴛᴏɢᴇᴛʜᴇʀ .

SOLUTION :-

ʟᴇᴛ,

Tʜᴇ ᴛᴏᴛᴀʟ ᴡᴏʀᴋ = 1

Fᴏʀ 'A' :-

➪ A ᴄᴀɴ ᴀʟᴏɴᴇ ᴅᴏ ᴛʜᴇ 1 ᴡᴏʀᴋ ɪɴ 4 ᴅᴀʏs .

☯︎ Sᴏ, ɪɴ ᴏɴᴇ ᴅᴀʏ A ᴄᴀɴ ᴅᴏ = $\bf\red{\dfrac{1}{4}}$ ᴡᴏʀᴋ .

Fᴏʀ 'B' :-

➪ B ᴄᴀɴ ᴀʟᴏɴᴇ ᴅᴏ ᴛʜᴇ 1 ᴡᴏʀᴋ ɪɴ 6 ᴅᴀʏs .

☯︎ Sᴏ, ɪɴ ᴏɴᴇ ᴅᴀʏ B ᴄᴀɴ ᴅᴏ = $\bf\red{\dfrac{1}{6}}$ ᴡᴏʀᴋ .

Fᴏʀ ʙᴏᴛʜ 'A' ᴀɴᴅ 'B' :-

➪ ʟᴇᴛ, A ᴀɴᴅ B ᴛᴏɢᴇᴛʜᴇʀ ᴅᴏ ᴛʜᴇ 1 ᴡᴏʀᴋ ɪɴ X ᴅᴀʏs .

☯︎ Sᴏ, ɪɴ ᴏɴᴇ ᴅᴀʏ A ᴀɴᴅ B ᴄᴀɴ ᴅᴏ = $\bf\red{\dfrac{1}{X}}$ ᴡᴏʀᴋ .

$\bf{:\implies\:\dfrac{1}{4}\:+\:\dfrac{1}{6}\:=\:\dfrac{1}{X}\:}$

$\rm{:\implies\:\dfrac{3\:+\:2}{12}\:=\:\dfrac{1}{X}\:}$

$\rm{:\implies\:\dfrac{5}{12}\:=\:\dfrac{1}{X}\:}$

$\bf\green{:\implies\:X\:=\:\dfrac{12}{5}\:}$

• ➳ X = 12/5 = 2.4 Days .

$\huge\red\therefore$ Tʜᴇ ᴛɪᴍᴇ ᴛʜᴀᴛ ʙᴏᴛʜ A ᴀɴᴅ B ᴡᴏᴜʟᴅ ᴛᴀᴋᴇ ɪғ ᴛʜᴇʏ ᴡᴏʀᴋ ᴛᴏɢᴇᴛʜᴇʀ ɪs "2.4 ᴅᴀʏs" .

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Answer 2

Answer:

the answer is 2.4 days

Step-by-step explanation:

In 4 days A can do 1 work

In 1 day A can do 1/4 work

Again,

In 6 days B can do 1 work

In 1 day B can do 1/6 work

then,In 1 day A and B can do (1/4+1/6)work

=10/24work

10/24 work done by A and B in 1 day

1 work done by A and B in {1/(10/24)}days

=24/10days

=2.4 days