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Question

If Sally can paint a house in 4 hours, and John can paint the same house in 6 hour, how long will it take for both of them to paint the house together?
  1. 2 hours and 24 minutes
  2. 3 hours and 12 minutes
  3. 4 hours and 33 minutes
  4. 3 hours and 44 minutes
  5. 4 hours and 10 minutes

A
4 hours and 10 minutes
B
4 hours and 33 minutes
C
3 hours and 44 minutes
D
2 hours and 24 minutes
E
3 hours and 12 minutes
Solution
Verified by Toppr

  • In 1 hour , sally can paint 1/4 th house
  • In 1 hour , john can paint 1/6 th house
  • In 1 hour they both combined can paint 1/4+1/6=5/12 th house
  • So they both combined can paint the house in 12/5 hour which implies 2 hours and 24minutes

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