Question 1154864


If two construction teams work together they can finish a road in 15 days.the rate of work of the first team is 4/5 of the rate of the second team. 
How many days each team needs to complete this job alone. 

Let one team take x hours to do the job

This team does 1/x of the job in 1 hour alone

They take (4/5)x hours to do the job 
This team does (5/4x) of the job in 1 hour alone

Both together do the job in 15 days
Together the complete 1/15 of the job in1 hour

{{{ 1/x +(5/4x) = 1/15}}}

{{{((9/4x)=1/15 }}}

4x = 135
x =135/4
x =33.75
First team 33.75 days
II team 
(4/5)*33.75 =27 days