India's mangalyan was sent to the mars by launching it into a transfer orbit EOM around the sun .It leaves the earth at E and meets mars at M.If the semi - major axis of earth's orbit is $\;a_{e}=1.5 \times 10^{11} m\;$ , that of Mar's orbit $\;a_{m}=2.28 \times 10^{11} m\;$, taken Kepler's law give the estimate of time for mangalyan to reach Mars from Earth to be close to :

Question

$(a)\;500\;days \qquad(b)\;320\;days\qquad(c)\;260\;days\qquad(d)\;220\;days$