MATHEMATICS Discuss

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

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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


Correct option: B

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