# Distance Between Two Places & Time Taken !

Manish and Rajni start from a place M at the same time to reach another place R. Manish travels at a constant speed of 21 kmph, while Rajni starts with a speed of 12 kmph and increases her speed by 1.25 kmph at the end of every hour. If both of them arrive at R at the same time, what is the distance between M and R and how much time did it take for each of them to reach R ?

http://solvemaths.in/distance-between-two-places-time-taken/AlgebraArithmeticManish and Rajni start from a place M at the same time to reach another place R. Manish travels at a constant speed of 21 kmph, while Rajni starts with a speed of 12 kmph and increases her speed by 1.25 kmph at the end of every hour. If both...

Pustam
Rautpustam1729@gmail.comSubscriberSOLVE - ΜΔΓΗŠ
The distance between and R is 302.4km

and time taken to cover the distance is 14.4hr

I have attached the solution below:

Wrong ! Try again !! You can not use those equations of Kinematics as Rajni’s speed is not changing continuously.

True. Now I understood it properly.

Is the correct answer time = 15.4 hr and distance = 323.4 km

Not Exactly True but closer to the correct answer ! I expect the answer by a fully analytical method rather than hit & trial method.

New solution

Time is 15.4 hr

Distance is 323.4 km

Still wrong ! Try again to get the exactly correct answer.