Question

Answer the Above question!

Class-10
Chapter-Progressions​

Answer 1

hey bro/sis,.. HOPE IT WILL HELP YOU!!..

Answer 2

✰︎︎︎ ᴀɴsᴡᴇʀ ;

➪ sᴜᴘᴘᴏsᴇ ᴛʜᴇ ᴡᴏʀᴋ ɪs ᴄᴏᴍᴘʟᴇᴛᴇᴅ ɪɴ "n" ᴅᴀʏs.

➪ sɪɴᴄᴇ 4 ᴡᴏʀᴋᴇʀs ᴡᴇɴᴛ ᴀᴡᴀʏ ᴏɴ ᴇᴠᴇʀʏ ᴅᴀʏ ᴇxᴄᴇᴘᴛ ᴛʜᴇ ғɪʀsᴛ ᴅᴀʏ.

∴ Tᴏᴛᴀʟ ɴᴜᴍʙᴇʀ ᴏғ ᴡᴏʀᴋᴇʀ ᴡʜᴏ ᴡᴀᴏʀᴋᴇᴅ ᴀʟʟ ᴛʜᴇ "n" ᴅᴀʏs ɪs ᴛʜᴇ sᴜᴍ ᴏғ "n" ᴛᴇʀᴍs ᴏғ A.P. ᴡɪᴛʜ ғɪʀsᴛ ᴛᴇʀᴍ 150 ᴀʙᴅ ᴄᴏᴍᴍᴏɴ ᴅɪғғᴇʀᴇɴᴄᴇ -4.

Tᴏᴛᴀʟ ɴᴜᴍʙᴇʀ ᴏғ ᴡᴏʀᴋᴇʀ ᴡʜᴏ ᴡᴏʀᴋᴇᴅ ᴀʟʟ ᴛʜᴇ "n" ᴅᴀʏs

==➪ n/2 [ 2×150 + ( - 1 ) × ( -4 ) ]

==➪ n ( 152-2n )

➪ Iғ ᴛʜᴇ ᴡᴏʀᴋᴇʀs ᴡᴏᴜʟᴅ ɴᴏᴛ ʜᴀᴠᴇ ᴡᴇɴᴛ ᴀᴡᴀʏ, ᴛʜᴇɴ ᴛʜᴇ ᴡᴏʀᴋ ᴡᴏᴜʟᴅ ʜᴀᴠᴇ ғɪɴɪsʜᴇᴅ ɪɴ ( n - 8 ) ᴅᴀʏs ᴡɪᴛʜ 150 ᴡᴏʀᴋᴇʀs ᴏɴ ᴇᴠᴇʀʏ ᴅᴀʏ.

∴ Tᴏᴛᴀʟ ɴᴜᴍʙᴇʀ ᴏғ ᴡᴏʀᴋᴇʀs ᴡʜᴏ ᴡᴏᴜʟᴅ ʜᴀᴠᴇ ᴡᴏʀᴋᴇᴅ ᴀʟʟ n ᴅᴀʏs = 150 ( n - 8 )

∴ n (152 – 2n) = 150 (n – 8)

⇒ 152n – 2n2 = 150n – 1200

⇒ 2n2 – 2n – 1200 = 0

⇒ n2 – – 600 = 0

⇒ n2 – 25n + 24n – 600 = 0

⇒ n(n – 25) + 24 (n + 25) = 0

⇒ (n – 25) (n + 24) = 0

⇒ n – 25 = 0 or n + 24 = 0

⇒ n = 25 or n = – 24

⇒ n = 25 (Nᴜᴍʙᴇʀ ᴏғ ᴅᴀʏs ᴄᴏɴɴᴏᴛ ʙᴇ ɴᴇɢᴀᴛɪᴠᴇ)

ᴛʜᴜs, ᴛʜᴇ ᴡᴏʀᴋ ɪs ᴄᴏᴍᴘʟᴇᴛᴇᴅ ɪɴ 25 ᴅᴀʏs.

❤️@ᴠɪsʜɴᴜ❤️