Question

Find the speed and the average of a train which leaves Nagpur at 9 a. m. and the total time for stoppage is 1 hour 20 minutes between these stations​

Answer 1

Answer:

[ᴛᴇx]\sғ\ʟᴀʀɢᴇ\ᴜɴᴅᴇʀʟɪɴᴇ{ɢɪᴠᴇɴ:-}[/ᴛᴇx]

[ᴛᴇx]\ᴛᴛ{\ɪᴍᴘʟɪᴇs ʟᴇɴɢᴛʜ\:_{(ɢᴀʀᴅᴇɴ)}=ᴍ}[/ᴛᴇx]

[ᴛᴇx]\ᴛᴛ{\ɪᴍᴘʟɪᴇs ᴡɪᴅᴇ\:_{(ɢᴀʀᴅᴇɴ)}=ᴍ}[/ᴛᴇx]

[ᴛᴇx]\ᴛᴛ{\ɪᴍᴘʟɪᴇs ᴡɪᴅᴇ\:_{(ᴘᴀᴛʜ)}=ᴍ}[/ᴛᴇx]

[ᴛᴇx]\sғ\ʟᴀʀɢᴇ\ᴜɴᴅᴇʀʟɪɴᴇ{ᴛᴏ\: ғɪɴᴅ:-}[/ᴛᴇx]

[ᴛᴇx]\ᴛᴛ{\ɪᴍᴘʟɪᴇs ᴀʀᴇᴀ\:_{(ɢᴀʀᴅᴇɴ)}=?}[/ᴛᴇx]

[ᴛᴇx]\ᴛᴛ{\ɪᴍᴘʟɪᴇs ᴀʀᴇᴀ\:_{(ᴘᴀᴛʜ)}=?}[/ᴛᴇx]

[ᴛᴇx]\sғ\ʟᴀʀɢᴇ\ᴜɴᴅᴇʀʟɪɴᴇ{sᴏʟᴜᴛɪᴏɴ:-}[/ᴛᴇx]

ᴛᴏ ᴄᴀʟᴄᴜʟᴀᴛᴇ ᴛʜᴇ ᴀʀᴇᴀ ᴏғ ɢᴀʀᴅᴇɴ ᴀɴᴅ ᴘᴀᴛʜ ᴀᴛ ғɪʀsᴛ ᴡᴇ ʜᴀᴠᴇ ᴛᴏ ғɪɴᴅ ᴛʜᴇ ʟᴇɴɢᴛʜ ᴀɴᴅ ʙʀᴇᴀᴅᴛʜ ᴏғ ᴏᴜᴛᴇʀ ᴀʀᴇᴀ ᴏғ ɢᴀʀᴅᴇɴ ᴛʜᴇɴ ᴄᴀʟᴄᴜʟᴀᴛᴇ ᴛʜᴇ ᴀʀᴇᴀ ᴏғ ɢᴀʀᴅᴇɴ ᴀɴᴅ ᴏᴜᴛᴇʀ ᴀʀᴇᴀ ᴏғ ɢᴀʀᴅᴇɴ ᴛʜᴇɴ sᴜʙᴛʀᴀᴄᴛ ᴛᴏ ᴇᴀᴄʜ ᴏᴛʜᴇʀ ᴛᴏ ғɪɴᴅ ᴏᴜᴛ ᴛʜᴇ ᴀʀᴇᴀ ᴘᴀᴛʜ. ᴡɪᴛʜ ᴛʜᴇ ʜᴇʟᴘ ᴏғ ɢɪᴠᴇɴ ᴄʟᴜᴇ ɪɴ ᴛʜᴇ ǫᴜᴇsᴛɪᴏɴ ᴡᴇ sᴏʟᴠᴇ ᴛʜᴇ ᴀʀᴇᴀ ᴀɴᴅ ᴘᴀᴛʜ ᴀs ɢɪᴠᴇɴ ɪɴ ᴛʜᴇ ǫᴜᴇsᴛɪᴏɴ ᴛʜᴀᴛ ᴀ ɢᴀʀᴅᴇɴ ɪs ᴍ ʟᴏɴɢ ᴀɴᴅ ᴍ ʙʀᴏᴀᴅ. ᴀ ᴘᴀᴛʜ ᴍ ᴡɪᴅᴇ ɪs ᴛᴏ ʙᴇ ʙᴜɪʟᴛ ᴏᴜᴛsɪᴅᴇ ᴀɴᴅ ᴀʀᴏᴜɴᴅ ɪᴛ

[ᴛᴇx]\ᴛᴛ{\ɪᴍᴘʟɪᴇs ᴏᴜᴛᴇʀ\:_{(ʟᴇɴɢᴛʜ)}=+()}[/ᴛᴇx]

[ᴛᴇx]\ᴛᴛ{\ɪᴍᴘʟɪᴇs ᴏᴜᴛᴇʀ\:_{(ʟᴇɴɢᴛʜ)}=ᴍ}[/ᴛᴇx]

[ᴛᴇx]\ᴛᴛ{\ɪᴍᴘʟɪᴇs ᴏᴜᴛᴇʀ\:_{(ʙʀᴇᴀᴅᴛʜ)}=+()}[/ᴛᴇx]

[ᴛᴇx]\ᴛᴛ{\ɪᴍᴘʟɪᴇs ᴏᴜᴛᴇʀ\:_{(ʙʀᴇᴀᴅᴛʜ)}=ᴍ}[/ᴛᴇx]

ɴᴏᴡ ᴄᴀʟᴄᴜʟᴀᴛᴇ ᴀʀᴇᴀ ᴏғ ɢᴀʀᴅᴇɴ ᴀɴᴅ ᴏᴜᴛᴇʀ ᴀʀᴇᴀ:-

[ᴛᴇx]\ᴛᴛ{\ɪᴍᴘʟɪᴇs ᴀʀᴇᴀ\:_{(ɢᴀʀᴅᴇɴ)}=ʟᴇɴɢᴛʜ*ʙʀᴇᴀᴅᴛʜ}[/ᴛᴇx]

[ᴛᴇx]\ᴛᴛ{\ɪᴍᴘʟɪᴇs ᴀʀᴇᴀ\:_{(ɢᴀʀᴅᴇɴ)}=*}[/ᴛᴇx]

[ᴛᴇx]\ᴛᴛ{\ɪᴍᴘʟɪᴇs ᴀʀᴇᴀ\:_{(ɢᴀʀᴅᴇɴ)}=ᴍ^}[/ᴛᴇx]

ᴡᴇ ᴋɴᴏᴡ ᴛʜᴀᴛ ʜ=ᴍ² sᴏ, =?

÷=. ʜᴇᴄᴛᴀʀᴇ

[ᴛᴇx]\ᴛᴛ{\ɪᴍᴘʟɪᴇs ᴀʀᴇᴀ\:_{(ɢᴀʀᴅᴇɴ)}=.\:ʜᴇᴄᴛᴀʀᴇ}[/ᴛᴇx]

ɴᴏᴡ ᴄᴀʟᴄᴜʟᴀᴛᴇ ᴏᴜᴛᴇʀ ᴀʀᴇᴀ :-

[ᴛᴇx]\ᴛᴛ{\ɪᴍᴘʟɪᴇs ᴀʀᴇᴀ\:_{(ᴏᴜᴛᴇʀ)}=ʟᴇɴɢᴛʜ*ʙʀᴇᴀᴅᴛʜ}[/ᴛᴇx]

[ᴛᴇx]\ᴛᴛ{\ɪᴍᴘʟɪᴇs ᴀʀᴇᴀ\:_{(ᴏᴜᴛᴇʀ)}=*}[/ᴛᴇx]

[ᴛᴇx]\ᴛᴛ{\ɪᴍᴘʟɪᴇs ᴀʀᴇᴀ\:_{(ᴏᴜᴛᴇʀ)}=ᴍ^}[/ᴛᴇx]

ɴᴏᴡ ᴄᴀʟᴄᴜʟᴀᴛᴇ ᴀʀᴇᴀ ᴏғ ᴘᴀᴛʜ:-

[ᴛᴇx]\ᴛᴛ{\ɪᴍᴘʟɪᴇs ᴀʀᴇᴀ\:_{(ᴘᴀᴛʜ)}=ᴀʀᴇᴀ\:_{(ᴏᴜᴛᴇʀ)}-ᴀʀᴇᴀ\:_{(ɢᴀʀᴅᴇɴ)}}[/ᴛᴇx]

[ᴛᴇx]\ᴛᴛ{\ɪᴍᴘʟɪᴇs ᴀʀᴇᴀ\:_{(ᴘᴀᴛʜ)}=-}[/ᴛᴇx]

[ᴛᴇx]\ᴛᴛ{\ɪᴍᴘʟɪᴇs ᴀʀᴇᴀ\:_{(ᴘᴀᴛʜ)}=ᴍ^}[/ᴛᴇx]

[ᴛᴇx]\sғ\ʟᴀʀɢᴇ{ʜᴇɴᴄᴇ,}[/ᴛᴇx]

[ᴛᴇx]\ᴛᴛ{\ɪᴍᴘʟɪᴇs ᴀʀᴇᴀ\:_{(ᴘᴀᴛʜ)}=ᴍ^}[/ᴛᴇx]

[ᴛᴇx]\ᴛᴛ{\ɪᴍᴘʟɪᴇs ᴀʀᴇᴀ\:_{(ɢᴀʀᴅᴇɴ)}=.\:ʜᴇᴄᴛᴀʀᴇ}[/ᴛᴇx]