Q. 294.7( 19 Votes )

# X takes 3 hours m

Check the video solution to this question here:

Let the speed of X be x km/h and speed of Y is y km/h.

Time taken by X to cover distance of 30 km is hrs.

Time taken by Y to cover distance of 30 km is hrs.

As X takes 3 hours more than Y to walk 30 km,

So,

…… (1)

Now if X doubles his place then time taken is hrs

Time taken by Y to cover distance of 30 km is hrs.

As if X doubles his pace, he is ahead of Y by hours,

Also speed of X increases time taken by him will decrease.

So,

……. (2)

Now put

So (1) and (2) become,

10 u – 10v = 1

10u – 10v – 1 = 0 ….. (3)

–10u + 20v = 1

–10u + 20v – 1 = 0 ….. (4)

Adding (3) and (4) we get,

10 u – 10 u – 10v + 20v – 1 – 1 = 0

10 v – 2 = 0

Put the value of v in (3) to get,

10u – 2 – 1 = 0

10u – 3= 0

Now

Hence speed of X and Y is .

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Two Stories about Flying39 mins
Transportation in One Shot42 mins
Human Reproduction in One Shot45 mins
Extraction of Metal56 mins
Outcomes of Democracy43 mins
Purification of Metals60 mins
Classification of Acid44 mins
Convex Mirror38 mins
Application of Trigo Important Questions44 mins
Trigonometric Ratios of Specified Angles38 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses
RELATED QUESTIONS :

Solve each of theRS Aggarwal - Mathematics

If 2x – 3y = 7 anRD Sharma - Mathematics

Solve the followiRD Sharma - Mathematics