statement 2 : 4 hours of x = 2( 3 hours of y)
Shouldn't it be twice?
Let the rate of m/c X be x bottles/hour
Let the rate of m/c Y be y bottles/hour
So in 4 hours m/c X will produce = 4x bottles
and in 3 hours m/c Y will produce = 3y bottles.
Total bottles = 4x+3y ----(1)
Stmt1: Machine X produced 30 bottles per minute. i.e x=30bottles/min but rate of y is not given. Insufficient.
Stmt2: Machine X produced twice as many bottles in 4 hours as machine Y produced in 3 hours.
4x = 2 * 3y
Substituting in (1), 4x+ 3 * 2/3 x = 6x total number of bottles.
Now rate of m/c X is x bottles in 1 hour
so 6x bottles in 6 hours.
My dad once said to me: Son, nothing succeeds like success.