Two identical machines have the ability to produce both nuts and bolts. However, it takes 1 second to produce a bolt but 2 seconds to produce a nut. What is the fastest the two machines, working together, can produce 2,000 nuts and 2,000 bolts?
Choose the correct choice from the following answers.
A) 1,250 seconds B) 1,500 seconds C) 1,750 seconds D) 2,000 seconds E) 3,000 seconds
I used the Rate formula (R=\frac{1}{T})   Rate of 1st machine = Rate of making 1 bolt + Rate of making 1 nut = 1 + \frac{1}{2}   Rate of 1st machine = Rate of 2nd machine   After this I got lost.   Please can you help how to approach using algebra?   I wouldn't complicate:   1 machine needs 2,000*1 seconds to produce 2,000 bolts, so 2 need half of that, so 2,000/2 seconds.   1 machine needs 2,000*2 seconds to produce 2,000 nuts, so 2 need half of that, so 2,000*2/2 seconds.   3,000 seconds
<result>E</result>
Two identical machines have the ability to produce both nuts and bolts. However, it takes 1 second to produce a bolt but 2 seconds to produce a nut. What is the fastest the two machines, working together, can produce 2,000 nuts and 2,000 bolts?