Problema Solution
An automatic pitching machine can pitch all its baseballs in 1.25 hours. One attendant can retrieve all the baseballs pitched by one machine in 3.5 hours. All least how many attendants working at the same rate should be hired so that the baseballs from 10 machines are all retrieved in less than 8 hours?
Answer provided by our tutors
let x be the number of attendants picking the balls in less than 8 hours, x is non negative integer
1 attendant would take 10*3.5 = 35 hrs to pick up the balls of 10 machines
x attendants would take 35/x hrs to pick up the balls of 10 machines
35/x <=8
by solving we find
x >= 4.375
click here to see the step by step solution of the inequality
the first integer bigger than 4.375 is 5 thus at least 5 attendants are needed to retrieve all the balls in less than 8 hours.