from math import pi, log

#constants
M = 67
rho = 1.038
c = 3.7
K = 5.4e-3

#input temperatures
Tw = 100
Ty = 70
T0 = 4

t1 = (M**(2.0/3)*c*rho**(1.0/3))/(K*pi**2*(4*pi/3)**(2.0/3))
t2 = log(0.76*(T0-Tw)/(Ty-Tw))
time = t1*t2

#print the time in seconds:
print('It takes %.1f seconds to \
reach %g degrees when starting from %g degrees.' %(time,Ty,T0))

#convert to minutes and seconds using modulo (%)
minutes = int(time/60)
seconds = int(time%60)
print('It takes %g minutes and %g seconds to reach %g degrees' %(minutes, seconds,Ty))

"""
Terminal> python egg.py
It takes 396.6 seconds to reach 70 degrees when starting from 4 degrees.
It takes 6 minutes and 36 seconds to reach 70 degrees
"""