Sandra can paint a kitchen in 5 hours and Roger can paint the same kitchen in 8 hours. How long would it take for both working together to point the kitchen?
Answers
✰✰|| Given :
- Sandra can paint a kitchen in 5 hours
- Roger can paint the same kitchen in 8 hours
✰✰|| To Find :
- How long would it take for both working together to point the kitchen?
✰✰|| Solution :
work done by Sandra in 1 hours = 1/5
work done by Roger in 1 hours = 1/8
work done by both in 1 hours = 1/5 + 1/8
= 13/40
total time taken by both to finish the work = 40/13 hours = 13.07 hours
Therefore, total time taken by both to finish the work is 13.07 hours
Given data :
Sandra can paint a kitchen in 5 hours and Roger can paint the same kitchen in 8 hours
To find :
How long would it take for both working together to paint the kitchen
Step-by-step explanation :
In 5 hours, Sandra can paint the kitchen.
Then in 1 hour, she can paint 1/5 of the kitchen.
In 8 hours, Roger can paint the kitchen.
Then in 1 hour, he can paint 1/8 of the kitchen.
If they work together, then in 1 hour, they can paint (1/5 + 1/8) = (8 + 5)/40 = 13/40 of the kitchen.
So to paint the kitchen together, they would take
1/(13/40) hours
= 40/13 hours
= 3 1/13 hours
Final answer :
It would take 3 1/3 hours if both work together to paint the kitchen.
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