Question

Pavan and Prakash can complete a job in t days if they
work together. Pavan can complete it in (t+2) days and
Prakash can complete it in (t+8) days. Find the value of t.
(1) 3 (2) 6
(3) 7 (4) 4 .
​

Answer 1

Answer:

Value of t is 4 days

Step-by-step explanation:

Pavan(x) and Prakash(y) can complete a job in t days

$\frac{1}{x} +\frac{1}{y} =\frac{1}{t} \\\frac{1}{t+2} +\frac{1}{t+8} =\frac{1}{t}\\\\\\frac{t+8+t+2}{(t+2)(t+8)} =\frac{1}{t} \\t(2t+10)=t^2+10t+16\\t^2=16\\t=4 days$

value of t is 4 days