Problema Solution
sarina and milo must prepare the programs for a school function. They need to fold and staple 1000 programs. Sarina can fold 500 programs each hour or staple 1000 programs each hour. Milo can fold 750 reports in an hour or staple 750 reports in an hour. How long would it take Sarina and Miloe to complete the task if each took home 500 programs to staple and fold?
Answer provided by our tutors
Sarina:
has folding speed of 500 programs per hour
has stapling speed of 1000 programs per hour
She took 500 programs home to staple and fold. The time she needs to do all that is
folding time for 500 programs: 500 programs / folding speed = 500 programs / (500 programs/hour) = 1 hour
stapling time for 500 programs: 500 programs / stapling speed = 500 programs / (1000 programs/hour) = 0.5 hours
Sarina will spend total of 1 + 0.5 = 1.5 hours = 1 hour and 30 min to finish 500 programs.
Milo:
has folding speed of 750 programs per hour
has stapling speed of 750 programs per hour
He took 500 programs home to staple and fold. The time she needs to do all that is
folding time for 500 programs: 500 programs / folding speed = 500 programs / (750 programs/hour) = 2/3 hour
stapling time for 500 programs: 500 programs / stapling speed = 500 programs / (750 programs/hour) = 2/3 hours
Milo will spend total of (2/3) + (2/3) = 4/3 = 1 hour 20 min to finish 500 programs.
This means that after 1 hour and 30 min (we take the bigger time) all the programs will be folded and stapled.