# P varies jointly as m and u, and varies inversely as q. Given that p=4,...

Question 14
A

15

B

10

C

200/5

D

120/5

##### Explanation

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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