MATHEMATICS

JAMB 2013 - Question 14

Mathematics 2013 JAMB Past Questions - Question 14: P varies jointly as m and u ,and varies inversely as q.given that p=4 ,m=3 and u=2 when q=1,find the value of p when m=6,u=4 and q=8/5.

P varies jointly as m and u ,and varies inversely as q.given that p=4 ,m=3 and u=2 when q=1,find the value of p when m=6,u=4 and q=8/5.
A:
B:
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Correct Answer

A

Explanation

To solve this problem, we can use the concept of joint variation and inverse variation.We are given that P varies jointly as m and u, and inversely as q. This can be expressed as:P = k * (m * u) / qwhere k is the constant of variation.We can find the value of k by substituting the given values of P, m, u, and q into the equation:4 = k * (3 * 2) / 1Simplifying this equation, we have:4 = 6kDividing both sides by 6, we find:k = 4/6 = 2/3Now that we have the value of k, we can use it to find the value of P when m = 6, u = 4, and q = 8/5:P = (2/3) * (6 * 4) / (8/5)Simplifying this expression, we get:P = (2/3) * 24 / (8/5)  = (2/3) * (24 * 5) / 8  = (2/3) * 120 / 8  = (2/3) * 15  = 10Therefore, when m = 6, u = 4, and q = 8/5, the value of P is 10.