Problema Solution
Source of Heat A will melt a pound of ice in 2 hours and Source of Heat B will melt a pound of ice in 5 hours. How long will it take to melt a pound of ice if both sources are used at the same time?
Answer provided by our tutors
Heat A melting rate is 1/2 pound per hour
Heat B melting rate is 1/5 pound per hour
Let x = the hours the both sources need to melt a pound of ice thus the together rate of melting is 1/x pound per hour
1/2 + 1/5 = 1/x
by solving we find
x = 10/7 hr
x = 1 hr (3/7)*60 min
x = 1 hr 26 min
click here to see the step by step solution of the equation
both sources will melt a pound of ice in 1 hr and 26 min.