Mathematics
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/h, and the train travels at a speed which is 16 km/h faster than the car. Calculate :
(i) The time taken by car , to reach town B from A, in terms of x.
(ii) 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.
Related Questions
An aeroplane covered a distance of 400 km at an average speed of x km/h. On the return journey, the speed was increased by 40 km/h . Write down an expression for the time taken for :
(i) the onward journey
(ii) the return journey
If the return journey took 30 minutes less than the onward journey , write down an equation in x and find its value.
A school bus transported an excursion party to a picnic spot 150 km away. While returning , it was raining and the bus had to reduce its speed by 5 km/h , and it took one hour longer to make the return trip. Find the time taken to return.
A car covers a distance of 400 km at a certain speed . Had the speed been 12 km/h more, the time taken for the journey would have been 1 hour 40 minutes less . Find the original speed of the car.
An aeroplane flying with a wind of 30 km/h takes 40 minutes less to fly 3600 km , then what it would have taken to fly against the same wind. Find the plane's speed of flying in still air.