Question #215614

A car travells moves a distance of 200m.it cover first half distance at speed 40km/h and second half at speed of v km/h.calculate average speed of car


1
Expert's answer
2021-07-12T08:40:33-0400

First timet1=10040t_1=\frac{100}{40}

Second timet2=100vt_2=\frac{100}{v}

Total time

t=t1+t2t=t_1+t_2

t=10040+100vt=\frac{100}{40}+\frac{100}{v}


Average speed=totaldistancetotaltime\frac{total distance}{total time}

48=20010040+100v48=\frac{200}{\frac{100}{40}+\frac{100}{v}}

14+10v=2048\frac{1}{4}+\frac{10}{v}=\frac{20}{48}

14+10v=2048\frac{1}{4}+\frac{10}{v}=\frac{20}{48}

v=60km/hv=60km/h


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