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one person can paint a room in 5 hours and the other takes 8 hours working together how long will it take the two of them if they're working together please work the problem out and explain it to me

Respuesta :

ok so find how much work each can do per hour

irst person is 5 hours to do all room
therefor
1 hour=1/5 room

2nd person takes 8 hours to do all room
therefor
1 hour=1/8 room

since working together, add times

1 hour=1/5+1/8
make denoms same
1hour=8/40+5/40=13/40

13/40 room times x hours=1 whole room
multiply both sides by 40/13 to cleaf raction (13/40 times 40/13=520/520=1)

xhours=40/13hours
xhours=3 and 1/13 hours
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