Question

16. A tank, when full, can contain 1500 litres of water.
Pump A can fill water into the tank at a rate of
x litres per minute.
(1) Write down an expression, in terms of x,
for the number of minutes taken by Pump A
to fill the tank completely.
Pump B can fill water into the tank at a rate of
(x + 50) litres per minute.
(ii) Write down an expression, in terms of x,
for the number of minutes taken by Pump B
to fill the tank completely.
(iii) If Pump A takes 30 seconds longer than Pump B
to fill the tank completely, formulate an equation
in x to represent this information and show that
it reduces to x2 + 50x – 150 000 = 0.
(iv) Solve the equation x2 + 50x – 150 000 =0, giving
both
your answers correct to 2 decimal places.
(v) Find the time taken for Pump B to fill the tank
completely, giving your answer in minutes
and seconds, correct to the nearest second.​

Answer 1

Answer:

1500 litre water he presurise in 1500 minute