A group of mountain climbers set up a camp at a $3$ km$\pu{3 km}$ altitude and experience a barometric pressure of $0.69$ atm$\pu{0.69 atm}$. They discover that pure water boils at $90^{\circ}$C$\pu{90 ^\circ C}$ and that it takes $300$ minutes$\pu{300 min}$ to make a "three-minute" egg. What is the ratio of rate constants at $100^{\circ}$C$\pu{100 ^\circ C}$ and at $90^{\circ}$C$\pu{90 ^\circ C}$ i.e. $\dfrac{k_{100^{\circ}C}}{k_{90^{\circ}C}}$$\dfrac{k_\pu{100 ^\circ C}}{k_\pu{90 ^\circ C}}$?
How should I approach this problem? I have no idea what to do here, though it seems like an interesting problem.The The given answer is
100
