Suppose Ram can paint the entire wall in 24 minutes and Shyam takes 28 minutes. If they worked together for a while and then Ram continued the work alone at the same time they spent it together. How long would it take to paint the wall?
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Answers
Given : Ram can paint the entire wall in 24 minutes and Shyam takes 28 minutes. If they worked together for a while and then Ram continued the work alone for the same time they spent it together.
To Find : How long would it take to paint the wall
Solution:
Ram can paint the entire wall in 24 minutes
=> ram can paint the wall in 1 minute = 1/24
Shayam can paint the entire wall in 28 minutes
=> Shayam can paint the wall in 1 minute = 1/28
Together can paint in 1 minute = 1/24 + 1/28
= (7 + 6) /168
= 13/168
Time together worked for T minutes
so total time = T + T = 2T minutes
Work Done in T minutes together = 13T/168
Work done by Ram in T minutes = T/24
13T/168 + T/24 = 1
= 13T + 7T = 168
=> 20T = 168
=> 2T = 168/10
=> 2T = 16.8 minutes
It will Take 16.8 minutes to paint the wall
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