contestada

there are two machines that produce aluminum cans. The newer machine can produce 4200 cans in 210 minutes. It takes the older machine 280 minutes to produce that many cans. If the two machines work together, how long will it take them to produce 4200 cans?

Respuesta :

mathmate
To solve this kind of problems, we need the rate (per minute) of production.  So the time to produce a certain quantity cannot be used directly.

Rate of old machine: 4200/280=15 cans/min.
Rate of new machine: 4200/210=20 cans/min.

Combined rate of one each of old and new machines
= 15+20
= 35 cans/min

Time it takes the two machines to produce 4200 cans
=4200 cans / (35 cans/min)
=120 minutes

Division is one of the four fundamental arithmetic operations. It will take 120 minutes for both the machines together to produce 4200 cans.

What is Division?

The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.


The number of cans that the new machine can produce in a minute is,

Number of cans in a minute by the new machine

= 4200 cans / 210 minutes

= 20 cans per minute

The number of cans that the old machine can produce in a minute is,

Number of cans in a minute by the old machine

= 4200 cans / 280 minutes

= 15 cans per minute

Therefore, if both the machines are started together then the number of cans that will be produced in a minute is 35 cans. Thus, the time it will take for both the machines together to produce 4200 cans is,

Time Needed = 4200 cans/35 cans per minute = 120 minutes

Hence, it will take 120 minutes for both the machines together to produce 4200 cans.

Learn more about Division:

https://brainly.com/question/369266

#SPJ2

Otras preguntas