A car that travels at 6.3 km/hr for 2.0 hrs, at 5.7 for 1.0 hr and at 6.6 for half an hour. What is its average speed?
Solution.
"v_1=6.3 km\/hr;"
"t_1=2.0hr;"
"v_2=5.7 km\/hr;"
"t_2=1.0hr;"
"v_3=6.6 km\/hr;"
"t_3=0.5 hr;"
"v_{average}=\\dfrac{l_1+l_2+l_3}{t_1+t_2+t_3};"
"l_1=v_1\\sdot t_1=6.3\\sdot 2.0=12.6km;"
"l_2=v_2\\sdot t_2=5.7\\sdot1.0=5.7km;"
"l_3=v_3\\sdot t_3=6.6\\sdot0.5=3.3km;"
"v_{average}=\\dfrac{12.6+5.7+3.3}{2.0+1.0+0.5}=6.17 km\/hr;"
Answer: "v_{average}=6.17 km\/hr."
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