Exercise 6C

### A girl goes to her friend’s house, which is at a distance of 12 km. She covers half of the distance at a speed of x km/hr and the remaining distance at a speed of (x + 2) km/hr. If she takes 2 hrs 30 minutes to cover the whole distance, find ‘x’.

Given, The young lady covers a distance of 6 km at a speed x km/hr. Along these lines, the time taken to cover initial 6 km $=\text{ }6/x\text{ }hr$ [Since, Time = Distance/Speed] Likewise given,...

### 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.

We should accept x km/h to be the first speed of the vehicle. We realize that, Time = Distance/Speed From the inquiry, The time taken by the vehicle to finish 400 km = $400/x\text{ }hrs$...

How about we think about the first speed of the plane to be x km/hr. Presently, the time taken to cover a distance of $1200\text{ }km\text{ }=\text{ }1200/x\text{ }hrs$ [Since, Time =...
(i) Given, Speed of the conventional train $=\text{ }x\text{ }km/hr$ Speed of the express train $=\text{ }\left( x\text{ }+\text{ }25 \right)\text{ }km/hr$ Distance $=\text{ }300\text{ }km$ We...