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P varies directly as Q and inversely as R. When Q = 36 and R…

P varies directly as Q and inversely as R. When Q = 36 and R = 16, P = 27. Find the relation between P, Q and R.
  • A.
    (P = frac{Q}{12R})
  • B.
    (P = frac{12Q}{R})
  • C.
    (P = 12QR)
  • D.
    (P = frac{12}{QR})
Correct Answer: Option B
Explanation

(P propto frac{Q}{R})
(P = K frac{Q}{R})
When Q = 36, R = 16, P = 27
Then substitute into the equation
(27 = K frac{36}{16})
(K = frac{27 times 16}{36})
(K = 12)
So the equation connecting P, Q and R is
(P = frac{12Q}{R})

There is an explanation video available below.

Explanation Video

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