A man walks a certain distance in certain time, if he had gone 3 km per hour faster, he would have taken 1 hour less than the scheduled time. If he had gone 2 km per hour slower, he would have taken one hour longer on the road. The distance (in km) is :

A. 60

B. 45

C. 65

D. 80

Answer: Option A

Solution(By Examveda Team)

Let the speed = x km/hr
And, time = y hr
According to the question,
x × y = (x + 3) (y - 1)
xy = xy + 3y - x - 3
x - 3y = - 3 ..... (i)
Also,
x × y = (x - 2)(y + 1)
xy = xy - 2y + x - 2
x - 2y = 2 ..... (ii)
Solve equation (i) and (ii)
x = 12
y = 5
Distance = Speed × Time
Distance = 12 × 5
               = 60 km