a car covers the first half of the distance between two places at 20kmph and the second half of the distance at 30kmph.calculate the average speed?
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ɪɴᴇʀᴛɪᴀ ɪꜱ ᴛʜᴇ ʀᴇꜱɪꜱᴛᴀɴᴄᴇ ᴏꜰ ᴀɴʏ ᴘʜʏꜱɪᴄᴀʟ ᴏʙᴊᴇᴄᴛ ᴛᴏ ᴀɴʏ ᴄʜᴀɴɢᴇ ɪɴ ɪᴛꜱ ᴠᴇʟᴏᴄɪᴛʏ. ᴛʜɪꜱ ɪɴᴄʟᴜᴅᴇꜱ ᴄʜᴀɴɢᴇꜱ ᴛᴏ ᴛʜᴇ ᴏʙᴊᴇᴄᴛ'ꜱ ꜱᴘᴇᴇᴅ, ᴏʀ ᴅɪʀᴇᴄᴛɪᴏɴ ᴏꜰ ᴍᴏᴛɪᴏɴ. ᴀɴ ᴀꜱᴘᴇᴄᴛ ᴏꜰ ᴛʜɪꜱ ᴘʀᴏᴘᴇʀᴛʏ ɪꜱ ᴛʜᴇ ᴛᴇɴᴅᴇɴᴄʏ ᴏꜰ ᴏʙᴊᴇᴄᴛꜱ ᴛᴏ ᴋᴇᴇᴘ ᴍᴏᴠɪɴɢ ɪɴ ᴀ ꜱᴛʀᴀɪɢʜᴛ ʟɪɴᴇ ᴀᴛ ᴀ ᴄᴏɴꜱᴛᴀɴᴛ ꜱᴘᴇᴇᴅ, ᴡʜᴇɴ ɴᴏ ꜰᴏʀᴄᴇꜱ ᴀᴄᴛ ᴜᴘᴏɴ ᴛʜᴇᴍ.
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Answer:
Letx consider, x= total distance covered by the car,
Time taken to complete the half distance with velocity v=40km/h,
t
1
=
2×40
x
=
80
x
hr. . . . .(1)
The time taken to complete another half distance with velocity u=60km/h
t
2
=
2×60
x
=
120
x
hr
The total time taken, t=t
1
+t
2
t=
80
x
+
120
x
=
48
x
hr
The average speed of the car,
v
avg
=
x/48
x
=48km/h
The correct option is B.
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