Machine A can complete a certain job in x hours. Machine B can complete the same job in y hours. If A and B work together at their respective rates to complete the job, which of the following represents the fraction of the job that B will not have to complete because of A’s help?

A. (x – y)/ (x + y)

B. x / (y – x)

C. (x + y) / xy

D. y / (x – y)

E. y / (x + y)

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

It takes 6 technicians 10 hours to build and program a new server, with each working at the same rate. If six technicians start to build the server at 11:00 AM, and one technician per hour is added beginning at 5:00 PM, at what time will the server be complete?

A) 7:00 PM

B) 8:00 PM

C) 7:40 PM

D) 7:20 PM

E) 6:40 PM

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

A can fill a tank in 15 minutes and B can fill it in 30 minutes. C can make it empty@12 Ltr/min. If all 3 are open at same time when tank was empty. After 30 minutes tank becomes completely empty find capacity of tank.

a) 360
b) 270
c) 180
d) 120
e) 90

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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