Question

In a Marathon race, Sudhir ran 48 km at an average speed of x km/h and Madhav ran the race 3 km/h
faster than Sudhir and finished the race 32 minutes before Sudhir. Solve for x.


the answer is 15 I want the solution.​

Answer 1

WE KNOW THAT THE DISTANCE COVERED BY SUDHIR AND MADHAV ARE SAME.

LET TIME TAKEN BY SUDHIT IS Y

ATQ

48/(X+3)=Y-32/60

WE KHOW THE TIME TAKEN BY SUDHIR (Y)=48/X

48/(X+3)=48/X-32/60

48/(X+3)=48/X-32/60

48/(X+3)-48/X=32/60

48X-48(X+3)/(X+3)X=32/60

48(X-(X+3))/(X+3)X=32/60

48(X-X-3))/(X+3)X=32/60

-144/X^2+3X=32/60

X^2+3X=-144/ 32/60

SOLVE THE QUADRATIC NOW