Question

 If machine X can produce 1,000 bolts in 8 hours and machine Y can produce 1,000 bolts in 24 hours. In how many hours can machines X and Y, working together at these constant rates, produce 1,000 bolts?​

Answer 1

Answer:

hlo

your answer is here !

Step-by-step explanation:

Using formula for work =>

1/8 + 1/24 = 1/h

⇒ 4/24 = 1/6. Working together, machines X and Y can produce 1,000 bolts in 6 hours.

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Answer 2

It is given that, machine X can produce 1,000 bolts in 8 hours and machine Y can produce 1,000 bolts in 24 hours.

We have to find out how many hours machines X and Y have to work together to produce 1,000 bolts.

In first step, we have to find out the production of machine X per hour.

It is given that Machine X can produce 1000 bolts in 8 hrs.

∴ it  can produce$\frac{1000}{8}$ ​=125 bolts in an hour.

In second step we have to find out the production of machine Y in per hour.

According the question,Machine Y can produce 1000 bolts in 24 hrs.

∴ it  can produce $\frac{1000}{24}$ =41.66 bolts in an hour.

So, together they can produce( 125+41.66) =166.66 bolts in an hour.

Hence they will produce 1000 bolts in ​$\frac{1000}{166}$= 6.02​ hours.

Ans :-  Machine X and Y, have to work 6.02 hours together to produce 1,000 bolts.

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