Directions: Answer the questions based on the information given below.
A certain kind of fuel " Keptrol " is measured in two units only i.e. Pentum (P) and Rentum(R). There are five different machines which run on Keptrol is poured in its tank and after each hour an fixed extre quantity of Keptrol ( which is different for different machines ) is added to keep them running.
The given table shows the time (in hours) for which given five machines were operated and initial quantity (in Pentum) of fuel added to each of the given machines. And total quantity (in Rentum) of fuel consumed by given five machines.- A, B, C, D, E.
| Machines | Quantity (in Pentum) of fuel added initially | Time (in hours) for which machines is operated | Total quantity (in Rentum) of fuel added |
| A | 120 | 5 | x2 + 51 |
| B | 250 | 8 | 2y2 - 440 |
| C | 80 | 4 | 1.5z2 - 184 |
| D | 160 | 12 | 5v2 + 70 |
| E | 200 | 10 | m2 - 20 |
Note-
a) R = 120 + (2/5)P
b) After each hour an extra quantity of "x" R, "y" R, "z" R, "v" R and "m" R of fuels has to be added to machines A, B, C, D and E respectively such that x, y, z, v and m are integers.
c) The machines are operated for given hours only and after the desired time the fuel tank of the machines is emptied.