Question

A man traveled 3/4 of his journey by rail 1/4th by taxi and 1/8 by bus and remaining 2km on foot. what is the length of his total journey

Answer 1

ʜᴇy ᴀɴᴋɪᴛ
ʟᴇᴛ ᴛʜᴇ ᴛᴏᴛᴀʟ ᴊᴏᴜʀɴᴇy ᴛʀᴀᴠᴇʟʟᴇᴅ ʙy ᴍᴀɴ ʙᴇ ϰ

ᴍᴀɴ ᴛʀᴀᴠᴇʟʟᴇᴅ ʙy ᴛʀᴀɪɴ=3/4x
ᴍᴀɴ ᴛʀᴀᴠᴇʟʟᴇᴅ ʙy ʙᴜꜱ=1/4ϰ
ᴍᴀɴ ᴛʀᴀᴠᴇʟʟᴇᴅ ʙy ᴛᴀxɪ=1/8ϰ
ᴍᴀɴ ᴛʀᴀᴠᴇʟʟᴇᴅ ʙy ꜰᴏᴏᴛ=2км
ᴀᴛq
ϰ=3/5ϰ+1/4ϰ+1/8ϰ+2
ϰ-(3/5ϰ+1/4ϰ+1/8ϰ)=2
ϰ-(39/40)=2
ϰ-39/40ϰ=2
40ϰ-39ϰ/40=2
ϰ/40=2
ϰ=80км
ᴛᴏᴛᴀʟ ᴅɪꜱᴛᴀɴᴄᴇ ᴛʀᴀᴠᴇʟʟᴇᴅ ʙy ᴍᴀɴ ɪꜱ 80ᴋᴍꜱ