Mathematics
Car A travels x km for every litre of petrol, while car B travels (x + 5) km for every litre of petrol.
(i) Write down the number of litres used by car A and car B in covering a distance of 400 km.
(ii) If car A used 4 litres of petrol more than car B in covering 400 km, write an equation in x and solve it to determine the number of litres of petrol used by car B for the journey.
Related Questions
A train covers a distance of 780 km at x km/hr. Had the speed been (x − 5) km/hr, the time taken to cover the same distance would have been increased by 1 hour. Write down an equation in x and solve it to evaluate x.
The distance by road between two towns A and B, is 216 km, and by rail it is 208 km. A car travels at a speed of x km/hr and the train travels at a speed which is 16 km/hr faster than the car.
(i) Write down the time taken by the car to reach town B from A, in terms of x.
(ii) Write down the time taken by the train to reach town B from A, in terms of x.
(iii) If the train takes 2 hours less than the car to reach town B, obtain an equation in x and solve it.
(iv) Hence, find the speed of the train.
The speed of a boat in still water is x km/hr and the speed of the stream is 3 km/hr.
(i) Write the speed of the boat upstream, in terms of x.
(ii) Write the speed of the boat downstream, in terms of x.
(iii) If the boat goes 15 km upstream and 22 km downstream in 5 hours, write an equation in x to represent the statement.
(iv) Solve the equation to evaluate x.
A booster pump can be used for filling as well as for emptying a tank. The capacity of the tank is 2400 m3. The emptying capacity of the tank is 10 m3 per minute higher than its filling capacity and the pump needs 8 minutes lesser to empty the tank than it needs to fill it. What is the filling capacity of the pump?