Problema Solution
Together, Naomi and Tyrone can write a particular type of computer program in16 hours. Alone, Naomi can do the job 5 hours faster than Tyrone. Find the time that each person takes to write a computer program.
Answer provided by our tutors
let
x = the hours Naomi needs to do the job alone, x>0
1/x job per hour is the rate of Naomi
x + 5 = the hours Tyrone needs to do the job alone
1/(x + 5) job per hour the rate of Tyrone
1/16 job per hour is the together rate
1/x + 1/(x + 5) = 1/16
by solving we find:
x = 29.69 hr
click here to see the step by step solution of the equation:
x + 5 = 29.69 + 5 = 34.69 hr
Naomi needs 29.69 hours to write the computer program alone.
Tyrone needs 34.69 hours to write the computer program alone.