Respuesta :
Answer:
clerk A and clerk B can simultaneously stock a shelf in 180/13 minutes
Step-by-step explanation:
Let the first clerk be A and the second clerk be B
A can stock a shelf in 20 min
B can stock a shelf in 45 min
Consider the complete work to be W
A’s rate of stocking = per minute
B’s rate of stocking = per minute
When, A and B work simultaneously, rate of work done =
Total work done simulatenously = 180/13
Therefore, clerk A and clerk B can simultaneously stock a shelf in 180/13 minutes
Answer:
Step-by-step explanation:
The rate of each clerk is 1/25 and 1/45 respectively so together they can stock the shelf
t/25+t/45=1 (the least common multiple of 25 and 45 is 225)
t/25(9/9)+t/45(5/5)=1
(9t+5t)/225=1
9t+5t=225
14t=225
t=225/14 min
t=16 minutes (rounded to nearest minute)
( or 16 minutes and about four seconds :) )