Question

ɪғ ᴀ ᴄᴀʀ ᴄᴏᴠᴇʀs 1/4ᴛʜ ᴏғ ᴛʜᴇ ᴛᴏᴛᴀʟ ᴅɪsᴛᴀɴᴄᴇ ᴡɪᴛʜ sᴘᴇᴇᴅ ᴠ1 ᴀɴᴅ ɴᴇxᴛ ʜᴀʟғ ᴏғ ᴛᴏᴛᴀʟ ᴅɪsᴛᴀɴᴄᴇ ᴡɪᴛʜ sᴘᴇᴇᴅ ᴠ2 ᴀɴᴅ ᴛʜᴇ ʀᴇᴍᴀɪɴɪɴɢ ᴅɪsᴛᴀɴᴄᴇ ᴡɪᴛʜ sᴘᴇᴇᴅ ᴠ3 . ғɪɴᴅ ᴛʜᴇ ᴀᴠᴇʀᴀɢᴇ sᴘᴇᴇᴅ.

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Answer 1

✪GIVEN:- A car covers 1/4 th distance with speed v1 , 1/4th distance with V2 & Another 1/4 th distance with V3.

✪REQUIRED TO FIND :- The average speed.

✪FORMULAS USED :-

》$\boxed{Avg\: Speed = Total\: Distance/ Total \: Time}$

》$\boxed{Time = Distance / velocity }$

✪SOLUTION ✪

》AVERAGE SPEED = TOTAL DISTANCE / TOTAL TIME

= S/2 + S/4 + S/4 / d1/v1 + d2/V2 + d3/v3

= S / S/2v1 + S/4V2 + S/4V3

= 1 / 1/2V1 + 1/4V2 + 1/4V3

= 4V1.V2.V3 / 2V2V3 + V1V3 + V1V2.

$》\boxed{ Hence, Average \: speed = 4v1v2v3 \: \div 2v</u></em></strong><strong><em><u>2</u></em></strong><strong><em><u>v3 \: + v1v3 \: + v1v2}$

HOPE IT HELPS :)