Ajay covers a distance of 35 km in 3 hours more than the time taken by Vijay to cover the same distance by doubling his speed that takes 2 hours less than visit to cover the same distance find their speeds of walking
Answers
Answer:
Ajay = 3.5 km/h
Vijay = 5 km/h
Step-by-step explanation:
Let Ajay's speed be x.
Time = Distance / Speed
Time taken by Ajay = 35/x
This time is 3 hours more than the time taken by Vijay.
Time by Vijay = 35/x - 3
If Ajay doubles his speed the time taken is:
35/2x
This time is 2 hours less than the time taken by Vijay.
Time by Vijay = 35/2x + 2
Speed of Vijay is given by :
35/(35/x - 3) or 35/(35/2x + 2)
Since the speed of Vijay remains the same in both cases we have :
35/(35/x - 3) = 35/(35/2x + 2)
We now solve for x.
35(35/2x + 2) = 35(35/x - 3)
1225/2x + 70 = 1225/x - 105
70 + 105 = 1225/x - 1225/2x
175 = (1225 - 612.5)/x
175x = 612.5
x = 612.5/175
x = 3.5 km/h
Since we have x we can now get the speed of Vijay.
Speed of Vijay = 35/(35/x - 3)
= 35/(35/3.5 - 3)
= 35/(10 - 3) = 5 km/h
Ajay's speed = 3.5 km/h
Vijay's speed = 5 km/h