Question

Efficiency of A,B and C is in the ratio 4:5:6. What is the ratio of the time in which they complete the work?

Answer 1

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Answer 2

Answer:

15:12:10

Step-by-step explanation:

Since ratio of efficiency of A,B,C = 4:5:6

We know that who is more efficient will take less time to complete work .

So, the ratio of the time taken by A , B and C will be reciprocal the ratio of  efficiency of A,B and C  = $\frac{1}{4} :\frac{1}{5}:\frac{1}{6}$

LCM of 4,5,6 = 60

Thus

$\frac{1}{4} *60=15\\\\\frac{1}{5} *60=12\\\\\frac{1}{6}*60=10$

Hence the ratio of their times will be 15:12:10

the ratio of the time in which they complete the work will be  15:12:10