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work rate

by ska7945 » Fri Oct 03, 2008 7:50 pm
Machine X and Y works together at different rates and made 3000 bolts in 2hrs. X will work at the same rate and Y will work half rate, they took 3 hrs to make 3000 bolt. How many bolts can X alone make in 1hr?



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by Mani_mba » Fri Oct 03, 2008 8:04 pm
If x alone works, then x's rate is 1/x
If y alone works, then y's rate is 1/y

For the first case, 1/x + 1/y = 1/2 ------------- A

For the second case, Y will work half the rate.
So 1/x + 1/2y = 1/3 ---------------------- B

Solving A and B, x = 6

X takes 6 hours to make 3000 bolts.
So x makes 500 bolts in 1 hour..

Hence 500 is the answer.

What is the oA ?
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by cramya » Fri Oct 03, 2008 9:32 pm
Should be 500

My eqns were
x+y = 1500
2x+y=2000

y=1000 x=500

y works 2 hours make 2000 bolts
x works 2 hours makes 1000 bolts

Combined they work they produce 3000 bolts which is a given fact.
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by stop@800 » Sat Oct 04, 2008 3:06 am
I am also for 500

equations are
2x+2y = 3000

3x + 3y/2 = 3000
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