Question

find r when g=200,t=3,T=7​

Answer 1

Question :-

If $\sf t = \dfrac{rT}{g + r}$, find r is g = 200, t = 3 and T = 7

Answer :-

Given :-

• g = 200
• t = 3
• T = 7

To Find :-

• Value of r

Solution :-

$\sf t = \dfrac{rT}{g + r}$

Substituting the values :-

$\implies\sf 3 = \dfrac{7r}{200 + r}$

$\implies\sf 3(200 + r) = 7r$

$\implies\sf 600 + 3r = 7r$

$\implies\sf 7r - 3r = 600$

$\implies\sf 4r = 600$

$\implies\sf r = \dfrac{600}{4}$

$\implies\sf r = 150$

Value of r = 150

Verification :-

$\implies\sf LHS = t$

$\implies\sf LHS = 3$

$\implies\sf RHS = \dfrac{rT}{g + r}$

$\implies\sf RHS = \dfrac{150 \times 7}{150 + 200}$

$\implies\sf RHS = \dfrac{1050}{350}$

$\implies\sf RHS = 3$

LHS = RHS

Hence verified.