A body travels a distance of 10 km with a constant
speed of 30 km h l and then the next 40 km at a
constant speed of 50 km h . Find the average speed
for the whole journey.
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Let distance d1=10km
and distance d2=40km.
a=0(Since speed is constant).
=>u1=v1=30km/hr
and u2=v2=50km/hr.
time taken for d1 be t1 and time taken for d2 be t2.
Since d=ut+1/2at²
=>d1=ut1+1/2at1²
=>10=30t1+0(since a=0)
=>t1=1/3s
Similarly, d2=u2t2+1/2at2²
=>40=50t2+0
=>t2=4/5
=>t2=0.8s
=>Average Speed for the whole journey=d1+d2/t1+t2
=>Avg Speed=10+40/1/3+4/5
=>Avg Speed=50/17/15
=>Avg Speed =50×15/17
=>Avg Speed=750/17km/hr
Hope it is helpful.
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