If A can complete work in 4 days, B can complete the work in in T days and both A and B together can complete the work in 8/3 days, then find the value of T.

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Solution

We will solve this using the LCM technique.
A takes 4 days to complete the work
B takes T days to complete the work
then total work will be 4*T =4T units
A=4T/4 units = T units
B= T/4T = 1/4 units
the time taken by A and B work together =1/4+T= 8/3
SOLVING
( 1+4T)/4=8/3
1+4T=8
4T =7
T=7/4

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If A can complete work in 4 days, B can complete the work in in T days and both A and B together can complete the work in 8/3 days, then find the value of T.

We will solve this using the LCM technique. A takes 4 days to complete the work B takes T days to complete the work then total work will be 4*T =4T units A=4T/4 units = T units B= T/4T = 1/4 units the time taken by A and B work together =1/4+T= 8/3 SOLVING ( 1+4T)/4=8/3 1+4T=8 4T =7 T=7/4

We will solve this using the LCM technique.
A takes 4 days to complete the work
B takes T days to complete the work
then total work will be 4*T =4T units
A=4T/4 units = T units
B= T/4T = 1/4 units
the time taken by A and B work together =1/4+T= 8/3
SOLVING
( 1+4T)/4=8/3
1+4T=8
4T =7
T=7/4