A man starts from his home at 10:00am walks with a speed of 10 kilo meter per hour on a straight road up-to market 20km away stays at the market till 2:00 pm and return home by an auto with speed of 20km per hour average speed over this interval
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Acc. To me,
Answer is 40/3 km/h
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s1(speed of going)=10km/h
s2(speed of returning)=20km/h
d=20km
Avg speed =total distance/total time
Total d=d+d(for going and returning)
total time=t1+t2(for going and returning)
You don't know time so find out by
s=d/t
For t1(going)
s=s1,d=d,t=t1 so
t1=d/s1---------1
Here for t2(returning)
s=s2,d=d,t=t2
t2=d/s2------------2
Put it and find
avg S=2d/t1+t2
avg S=2*s1*s2/s1+s2------3
Put s1 and s2 in equation 3 and find
Avg S=40/3 km/h
I hope it help
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