Together Max and Dustin can scan at a rate of how many items per second?

Mathematics
Tutor: None Selected Time limit: 1 Day

Max and Dustin work at the local food market. Max can scan 5 items every 6 seconds. Dustin can scan 7 items every 10 seconds. What is their combined rate of scanning items per second? In other words, how fast can they scan items working together? 
 
Enter the numerator and the denominator of the answer as a fraction in lowest terms.
 
Together Max and Dustin can scan at a rate of how many items per second?
Feb 6th, 2015

Max scan rate = 5 items per 6 seconds

                        = 5 / 6  items per seconds

Dustin's scan rate = 7 items per 10 seconds

                              = 7 / 10  items per second

Now total rate = Max's rate + Dustin's rate

                        = 5 / 6 + 7 / 10

                        = ( 5*5 + 7*3 ) / 10

                        = ( 25 + 21 ) / 10

                        = 46 / 10

                        = 23 / 5

Hence total rate = 23 / 5 items per second

Feb 6th, 2015

Where do you get the 5 and 3 from?

Feb 6th, 2015

Sorry for miscalculation, There is 30 at the place of 10 as L.C.M of 6 and 10

                        = 5 / 6 + 7 / 10

                        = ( 5*5 + 7*3 ) / 30

                        = ( 25 + 21 ) / 30

                        = 46 / 30

                        = 23 / 15

Feb 6th, 2015

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