Question

Ramu started from a towards b at a speed of 20km/hr and raju started from b towards
a. they crossed each other after one hour. raju reached his destination 5/6 hour earlier than ramu reached his destination.then what is the distance between a and b?

Answer 1

Let Ramu stars from A and Raju starts from B in opposite direction of Ramu.
They cross each other at C on line joining the point A and B. Let distance is covered by Ramu is x and distance is covered by Ramu is y.
Then, distance between A and B = x + y

A/C to question,
they cross each other after one hours .
speed of Ramu = 20 km/h
speed of raju = P
Then, time taken by Raju = time taken by Ramu = 1
1 = x/20 = y/P
x = 20 km and y = P km

Again,
5/6 = (x + y)/20 - (x + y)/P
5/6 = (20 + P)/20 - (20 + P)/P
P = 30 km

Hence, distance = x + y = 50 km