The new COVID-19 testing facility in Lucena City is operating with two laboratorytechnicians. Technician A takes 2 hours to finish 50 samples of specimens from
CoVID-19 patients. Technician B takes 3 hours to finish 45 samples of specimens
from COVID-19 patients. Working together, how long should it take them to finish
150 samples of specimens from COVID-19 patients?
Hint:
Think about how many samples of specimens each technician can finish in one hour.
Please show your solution thanks
Answers
Given : Technician A takes 2 hours to finish 50 samples of specimens from CoVID-19 patients.
Technician B takes 3 hours to finish 45 samples of specimens
from COVID-19 patients.
To Find : Working together, how long should it take them to finish
150 samples of specimens from COVID-19 patients?
Solution:
Technician A takes 2 hours to finish 50 samples of specimens from
CoVID-19 patients.
=> Technician A will complete sample in 1 hr = 50/2 = 25
Technician B takes 3 hours to finish 45 samples of specimens from
CoVID-19 patients.
=> Technician B will complete sample in 1 hr = 45/3 = 15
Both together will finish sample in 1 hr = 25 + 15 = 40
40 Samples in 1 hr
=> 1 sample in 1/40 hr
=> 150 Samples in 150/40 hr
= 15/4 hr
= 3.75 hr
= 3 hr 45 minutes
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