JEE Main 2014 — Gravitation Question with Solution

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 ${\text{a}}_{\text{e}}=\text{1.5}\times 10^{11}\text{m}$ , that of Mar's orbit ${\text{a}}_{\text{m}}=\text{2.28}\times 10^{11}\text{m}$, taking Kepler's laws, give the estimate of time for Mangalyan to reach Mars from Earth.