This is classic exponential growth so use the equation A(t) = A_0e^{kt}

where:

- = Amount at time
t- = Amount at time 0/initial amount
- = growth constant
- = time

By definition the amount at time 0 is equal to

If the increase is sixfold after ten hours we get the following:

which is equal to

From there you can find k

Once you know your value of k find t using the rearranged equation below and that