Question

P works thrice as fast as q, whereas p and q together can work four times as fast as r. if p, q and r together work on a job, in what ratio should they share the earnings?

Answer 1

Given,
 p is 3 times more efficient than q.
p and q work 4 times as fast as r.
hence,
p = 3q      ---- (i)
p+q = 4r   ----(ii)
Substituting $eq^{n}(i)$ in $eq^{n}(ii)$,
=>3q+q = 4r
=> 4q = 4r
=> q= r    ----(iii)
From $eq^{n}(iii)$, we can see that q and r are equal efficient and p is 3 times more efficient than q or r.
Efficiency is directly proportional to earnings.
Hence, ratio of earning of p, q and r is:
p:q:r = 3:1:1
Ans: 3:1:1

Answer 2

From the first statement: p = 3q

From the second statement: p + q = 4r

Comparing both the statements: 4q = 4r => q = r

Thus, q and r have equal efficiency, while p is thrice as efficient as either q or r.

Therefore, p : q : r = 3 : 1 : 1