Question

In nuts and bolts factory, one machine produces only nuts at the rate of 100 nuts per minute and needs to be cleaned for 5 minutes after production of every 1000 nuts. Another machine produces only bolts at the rate of 75 bolts per minute and needs to cleaned for10 minutes after production of every 1500 bolts. If both the machines start production at the same time, what is the minimum duration required for producing 9000 pairs of nuts and bolts?

Answer 1

Answer:

nutѕ mαdє pєr mínutє = 100

вσltѕ mαdє pєr mínutє = 75

tímє tσσk tσ clєαn nut mαchínє = 5 mín

tímє tσσk tσ clєαn вσlt mαchínє= 10 mín

tímє fσr 1000 nutѕ tσ вє mαdє = 1000/100 = 10 mínѕ (+5 fσr clєαníng)

ѕσ íf ít tαkєѕ 15 mínѕ fσr 1000 nutѕ,tímє tσσk fσr 9000 nutѕ = 9 × 15 =135

tímє fσr 1500 вσltѕ prσductíσn = 1500/75= 20 mínѕ (+10 fσr clєαníng)

ѕσ íf ít tαkєѕ 30 mínѕ fσr 1500 вσltѕ,

tímє tσσk fσr 9000 вσlчѕ = 6 × 30 = 180 mínѕ

thuѕ, tσtαl tímє rєquírєd = 180 + 135 =315 mínutєѕ