P varies jointly as m and u, and varies inversely as q. Given that p = 4, m = 3 and u = 2 and q = 1, find the value of p when m = 6, u = 4 and q = $\frac{8}{5}$

12 $\frac{8}{5}$

28 $\frac{8}{5}$

Correct answer is C

P $\propto$ mu, p $\propto \frac{1}{q}$

p = muk ................ (1)

p = $\frac{1}{q}k$ .... (2)

Combining (1) and (2), we get

P = $\frac{mu}{q}k$

4 = $\frac{m \times u}{1}k$

giving k = $\frac{4}{6} = \frac{2}{3}$

So, P = $\frac{mu}{q} \times \frac{2}{3} = \frac{2mu}{3q}$

Hence, P = $\frac{2 \times 6 \times 4}{3 \times \frac{8}{5}}$

P = $\frac{2 \times 6 \times 4 \times 5}{3 \times 8}$

p = 10

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P varies jointly as m and u, and varies inversely as q. Given that p = 4, m = 3 and u = 2 and q = 1, find the value of p when m = 6, u = 4 and q = $\frac{8}{5}$

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P varies jointly as m and u, and varies inversely as q. Given that p = 4, m = 3 and u = 2 and q = 1, find the value of p when m = 6, u = 4 and q =85\frac{8}{5}

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P varies jointly as m and u, and varies inversely as q. Given that p = 4, m = 3 and u = 2 and q = 1, find the value of p when m = 6, u = 4 and q = $\frac{8}{5}$