Problema Solution
A dishwasher can wash 14 plates per minute. Another dishwasher can wash 10 plates per minute. How many minutes will the machines working together need to wash 1560 plates?
Answer provided by our tutors
let
v1 = 14 plates per min (the rate of the first dishwasher)
v2 = 10 plates per min (the rate of the second dishwasher)
t = the times they need to wash together
d = 1560 plates
since the rate = total number of plate washed/the time needed for the washing we have
the total number of plates washed = the rate*the time
v1*t + v2*t = d
or of we plug in the values
14t + 10t = 1560
by solving we find
t = 65 min
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the machines will need 65 min = 1 hr 5 min to wash the plates together.