A car travel 30 km at uniform.
40 k/h and next 30 km
20k/h Find average speed
Answers
Answer:
Explanation:
Given :-
1st Case
Distance, s = 30 km
Speed, v = 40 km/hr
2nd Case
Distance, s = 30 km
Speed, v = 20 km/h
To Find :-
Average Speed
Formula to be used :-
Speed = Distance / Time
Time = Distance / Speed
Average Speed =Total distance/ Total time
Solution :-
1st Case
Time = Distance / Speed
Time, t = 30 / 40
t = 3/4 hrs
2nd Case
Time = Distance / Speed
Time, t = 30 / 20
t = 3/2 hrs
Average Speed =Total distance/ Total time
= (30 + 30) / (3/4) + (3/2)
= 60 / ( 3 + 6 ) /4
= 60 / 9 × 4
= 20 / 3 × 4
= 80 / 3
= 26.67 Km/h ( Approx. )
Hence, The average speed of car is 26.67 Km/h.
ɢɪᴠᴇɴ ᴛʜᴀᴛ ,
⑴sᴛ 30 ᴋᴍ ᴜɴɪғᴏʀᴍ sᴘᴇᴇᴅ ɪs (ᴜ1) = 40 ᴋᴍ/ʜ
⑵ɴᴅ 30 ᴋᴍ ᴜɴɪғᴏʀᴍ sᴘᴇᴇᴅ ɪs ( ᴜ2 ) = 20 ᴋᴍ/ʜ
SoLuTiOn ,
ᴛᴏᴛᴀʟ ᴅɪsᴛᴀɴᴄᴇ ( ᴅ ) = 30 + 30 = 60ᴋᴍ
ᴛɪᴍᴇ ᴛᴀᴋᴇɴ ɪɴ ⑴sᴛ ᴛɪᴍᴇ = ᴅ / ᴛ = 30/40
ᴀʟsᴏ, ⑶ʜ / ⑷ = 180/⑷ = 45 ᴍɪɴ
ᴛɪᴍE ᴛᴀᴋᴇɴ ɪɴ ⑵ɴᴅ ᴛɪᴍᴇ = ᴅ/ᴛ = 30/20
ᴀʟsᴏ, 3ʜ/⑵ = 180/⑵ = 90 ᴍɪɴ
ᴛᴏᴛᴀʟ ᴛɪᴍᴇ = 45 + 90 = 135 ᴍɪɴ = 135/60 ʜ
ᴀᴠG. sᴘᴇᴇᴅ = 60/135/60 = 60* 60/135 =