Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
The temperatures of two objects are modeled (in °C) by
T
1
(
t
)
=
60
e
−
0.02
t
+
20
T_1(t)=60e^{-0.02t}+20
T
1
(
t
)
=
60
e
−
0.02
t
+
20
and
T
2
(
t
)
=
40
e
−
0.05
t
+
20
T_2(t)=40e^{-0.05t}+20
T
2
(
t
)
=
40
e
−
0.05
t
+
20
, where
t
t
t
is in minutes. Find the time at which the two temperatures are equal and state which object cools faster immediately after that instant.
Browse the problem library