A certain river has current of 3 miles per hour. A boat takes twice as long to travel upstream between two points as it does to travel downstream between the same two points. What is the speed of the boat in still water ?

A) 3 miles per hours
B) 6 miles per hours
C) 9 miles per hours
D) 12 miles per hours
E) The speed cannot be determined from the given ingformation

Machine M can produce x units in 3 / 4 of the time it takes machine N two produce x units. Machine N can produce x units in 2 / 3 the time it takes machine O two produce x units. If all three machines are working simultaneously, what fraction of the total output is produced by machine N?

(A) 1 / 2
(B) 1 / 3
(C) 4 / 13
(D) 8 / 29
(E) 6 / 33

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Working alone at its constant rate, machine K took 3 hours to produce ¼ of the units produced last Friday. Then machine M started working and the two machines, working simultaneously at their respective constant rates, took 6 hours to produce the rest of the unites produced last Friday. How many hours would it have taken machine M, working along at its constant rate, to produce all of the units produced last Friday?

Â

(A)Â 8

(B)Â Â 12

(C)Â 16

(D)Â 24

(E)Â Â 30

2 cars are 120 miles apart.If both cars go at a constant speed with one of them going at 30/mph and the other 40/mph – how far apart will the 2 cars be in exactly 1 hour before they meet?

A) 10
B) 50
C) 70
D) 110
E) None of these

John traveled 80% of the way from Yellow-town to Green-fields by train at an average speed of 80 miles per hour. The rest of the way John traveled by car at an average speed of v miles per hour. If the average speed for the entire trip was 60 miles per hour, what is v in miles per hour?
(a) 30
(b) 40
(c) 50
(d) 55
(e) 70