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. Calculate: (i) the time taken by the 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.
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. Calculate: (i) the time taken by the 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.

According to ques,

Speed of car =

    \[x\text{ }km/hr\]

Speed of train =

    \[\left( x\text{ }+\text{ }16 \right)\text{ }km/hr\]

Time =

    \[Distance/\text{ }Speed\]

(i)Time taken by the car to reach town B from town A

    \[=\text{ }216/x\text{ }hrs\]

(ii) Time taken by the train to reach town B from A

    \[=\text{ }208/\left( x\text{ }+\text{ }16 \right)\text{ }hrs\]