Three factories of Conglomerate Corporation are capable of manufacturing hubcaps. Two of the factories can each produce 100,000 hubcaps in 15 days. The third factory can produce hubcaps 30% faster. Approximately how many days would it take to produce a million hubcaps with all three factories working simultaneously?
A) 38
B) 42
C) 44
D) 46
E) 50

Question

Three factories of Conglomerate Corporation are capable of manufacturing hubcaps. Two of the factories can each produce 100,000 hubcaps in 15 days. The third factory can produce hubcaps 30% faster. Approximately how many days would it take to produce a million hubcaps with all three factories working simultaneously?
A) 38
B) 42
C) 44
D) 46
E) 50

anonymous · Answer

First figure out how much each factory can make each day

igreen · Answer

Factory #1

100,000 hubcaps in 15 days

Factory #2

100,000 hubcaps in 15 days

Factory #3

130,000 hubcaps in 15 days

15 days for all three factories:

330,000 hubcaps

30 days for all three factories:

660,000 hubcaps

45 days for all three factories:

990,000 hubcaps

So it's gonna be a little over 45, which would be 46.

So your answer is D!

igreen · Answer

Welcome to Open Study!

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anonymous · Answer

Thank you so much :) I was doing it and I got 45. something but it didn't have the answer 45 so I didn't know whether it was 45 or 46. Thanks again.