on a 120 km track, a train travels the first 30 km at a uniform speed of 30km/hr. How fast must the train travel the next 90km so as to average 60km/hr for the entire trip?
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╰☆☆ ʜᴇʏᴀ ᴍᴀᴛᴇ ☆☆╮
please refer to the attachment
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30 aur 90 ke neeche kya hai samjh nhi aa rha
30/30 = 1 hr
ok
nd t2 = 90/v
v means?
this velocity we have considered as v
which we have to find out
ok
did u understand now ?
yes. understood
Answered by
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Tᴏᴛᴀʟ ᴅɪsᴛᴀɴᴄᴇ = 120 ᴋᴍ
Iɴɪᴛɪᴀʟ ᴅɪsᴛᴀɴᴄᴇ ᴄᴏᴠᴇʀᴇᴅ = 30 ᴋᴍ
Sᴘᴇᴇᴅ ʙʏ ᴡʜɪᴄʜ ɪɴɪᴛɪᴀʟ ᴅɪsᴛᴀɴᴄᴇ ᴄᴏᴠᴇʀᴇᴅ = 30 ᴋᴍ/ʜʀ
Tʜᴇʀᴇғᴏʀᴇ ᴛɪᴍᴇ ᴛᴀᴋᴇɴ ᴛᴏ ᴄᴏᴠᴇʀ ᴛʜᴇ ᴅɪsᴛᴀɴᴄᴇ ᴏғ 30 ᴋᴍ = 1 ʜʀ
Aᴠᴇʀᴀɢᴇ sᴘᴇᴇᴅ ɴᴇᴇᴅᴇᴅ ғᴏʀ ᴛʜᴇ ᴇɴᴛɪʀᴇ ᴛʀɪᴘ = 60 ᴋᴍ/ʜʀ
Tᴏᴛᴀʟ ᴛɪᴍᴇ ᴛᴏ ʙᴇ ᴛᴀᴋᴇɴ ᴛᴏ ᴄᴏᴠᴇʀ 120 ᴋᴍ = 120/60 = 2 ʜᴏᴜʀs
Rᴇᴍᴀɪɴɪɴɢ ᴅɪsᴛᴀɴᴄᴇ ᴛᴏ ʙᴇ ᴄᴏᴠᴇʀᴇᴅ = 120 - 30 = 90 ᴋᴍ
Tɪᴍᴇ ᴛᴏ ʙᴇ ᴛᴀᴋᴇɴ ᴛᴏ ᴄᴏᴠᴇʀ ᴛʜᴇ ʀᴇᴍᴀɪɴɪɴɢ ᴅɪsᴛᴀɴᴄᴇ ᴏғ 90 ᴋᴍ = 2 ʜʀ - 1 ʜʀ
= 1 ʜᴏᴜʀ
Tʜᴇʀᴇғᴏʀᴇ, sᴘᴇᴇᴅ ɴᴇᴇᴅᴇᴅ ғᴏʀ ᴛʜᴇ ʀᴇᴍᴀɪɴɪɴɢ ᴅɪsᴛᴀɴᴄᴇ ᴏғ 90 ᴋᴍ = 90 ᴋᴍ/ʜʀ
Hᴇɴᴄᴇ, ᴛʜᴇ ᴛʀᴀɪɴ ᴍᴜsᴛ ᴛʀᴀᴠᴇʟ ᴛʜᴇ ɴᴇxᴛ 90 ᴋᴍ ᴀᴛ ᴛʜᴇ sᴘᴇᴇᴅ ᴏғ 90 ᴋᴍ/ʜʀ sᴏ ᴀs ᴛᴏ ʜᴀᴠᴇ ᴀɴ ᴀᴠᴇʀᴀɢᴇ ᴏғ 60 ᴋᴍ/ʜʀ ғᴏʀ ᴛʜᴇ ᴇɴᴛɪʀᴇ ᴊᴏᴜʀɴᴇʏ.
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