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Abdul while driving to school computes the average speed of his trip to be 20 kilometres per hour in his return trip along the same route there is less traffic and the average speed is 30 kilometre per hour what is the average speed of abdul
Verified Answer
Abdul while driving to school computes the average speed of his trip t...
Let the distance traveled by Abdul from home to school = s km
time taken to reach the school=t1 sec
For Return journey , Abdul cover distance =s km
time=t2 sec
∴ Average speed for forward journey[home - school ] = Total distance/ Total time.
20 km/h =s/t1
∴t1=s/20 h ---eq(1)
 Average speed for backward journey[school -home] = Total distance/ Total time.
30 km/h =s/t2
t2=s/30h ---eq(2)
Average distance for entire journey = Total distance/ Total time
 =(s+s)/[s/20 +s/30]
 =2s/s[1/20+1/30]
 =2x20x30/50
 =24 km/hr
Shortcut method : If equal distance are covered with speeds v1 and v2 then average distance=2v1v2/v1+v2
 = 2x20x30/50
 =24km/hr

∴ The average speed for Abdul's trip is 24km/h
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Abdul while driving to school computes the average speed of his trip t...
Community Answer
Abdul while driving to school computes the average speed of his trip t...
Let the distance while going=x
Speed while going=20kmph
speed=distance/time
20kmph=x/time
time=x/20
NOW,
distance while coming=x
speed while coming=30kmph
speed=distance/time
30kmph=x/time
time=x/30
NOW,
total distance=x+x=2x
total time=x/20+x/30
=3x+2x/60
=5x/60
=x/12
Now,average speed for the whole journey
average speed =total distance travelled/total time taken
average speed=2x
___
x/12
=2x×12/x
=2×12
=24km/hr

therefore , the average speed for the whole journey is 24km/he
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Abdul while driving to school computes the average speed of his trip to be 20 kilometres per hour in his return trip along the same route there is less traffic and the average speed is 30 kilometre per hour what is the average speed of abdul
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