FFF.4 Put water in four vessels

There are the vessels A, B, C, D, and E.

The capacity of A is 200 mL and B is 40 mL.

Answer the following questions.

When you put water into a vessel, suppose that water is full in vessel.

(1) When it was repeated that water in C moving into empty A, A filled in the middle of the 4th time moving.

All water in A is pulled out and the water which remains in C is moved to A.

And when it was repeated that water in B moving into A, A filled exactly at the 4th time of moving.

Find the capacity of C.

(2) When it was repeated that water in D moving into empty A, A filled in the middle of the 5th time.

All water of A is pulled out and the water which remains in D is moved to A.

And when it was repeated that water in E moving into A, A filled in the middle of the 3rd time.

Furthermore, all water of A was pulled out and after moving the water remaining in E to A, when it was repeated water in D moving into A, A filled exactly at the 3rd time.

Moreover, after moving water in D into empty A only once, it was repeated that water in E moving into A, A filled exactly at the 2nd time.

Find the capacity of D and E, respectively.













Answer
(1) 60 mL
(2) D : 600/13 mL
E : 1000/13 mL