Question

A container of capacity 11/2 liters takes 61/3 seconds to fill. What time will be taken by a container of capacity 35/2 liters to fill completely at the same speed?

Answer 1

Answer:

Let initial quantity of mixture = x liters

Initial quality of milk = 0.75 x liters

So, 0.75x(1−x5)(1−x10)=0.54x

⇒10075x(xx−5)(xx−10)=10054x

⇒25(x2−15x+50)=18x2

⇒25x2−375x+1250=0

⇒7x2−375x+1250=0

x=2×7375±3752−4×7×1250

=14375±140625−35000

=14375+325=14700,4150

=5