Question

Q10
An oil road tanker can hold 24 tonnes of oil.
a In cold weather, the oil tanker is able to pump out x tonnes
of oil every minute.
1)Write down an expression in terms of x for the number of
minutes it takes the tanker to empty all the oil in cold weather.



In hot weather, the tanker can pump out ( x+ 0.5) tonnes of oil
every minute

Write down an expression in terms of x for the number of
minutes it takes the tanker to empty all the oil in hot weather

It takes 2 minutes longer to empty the tanker in cold weather
than in hot weather.
Write down an equation in and show that it simplifies to


Solve the quadratic equation 2xsquare + x - 12 = 0 giving your
solutions to three decimal places.

Find the time it takes, in minutes and seconds, correct to the
nearest second, for the tanker to empty the oil in cold weather​

Answer 1

Answer:

c) 24/x + 2 - 24/(x+0.5) = 0. Multiply everything by x(x+0.5) and simplify

d) 2x2 + x - 12 = 0...you should be able to solve this using the quadratic formula, and then evaluate it to three decimal places. IMPORTANT: you actually want the first four decimal places and then round so you get three decimal places.

e) Take your solution to d (971/2 - 1)/4), which is the time in cold weather, and add 2 to it. The whole number is the number of minutes. Take the decimal portion, multiply by 60, and round to the nearest whole number to get the number of seconds.