A and B start moving towards each other from places X and Y, respectively, at the same time on the same day. The speed of A is 20% more than that of B. After meeting on the way, A and B take p hours and 7hours, respectively, to reach Y and X, respectively. What is the value of p?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 5.
Concept
We know that in the condition when two objects move towards each other and then the time taken by them to reach their respective destinations is related to their speed by the following formula :
(Speed of A/Speed of B)2 = Time taken by B/Time taken by A
Application
Let the speed of B = 5x
Therefore, speed of A = 5x × 120/100 = 6x
According to the question
(Speed of A/Speed of B)2 = Time taken by B/Time taken by A
Putting the values
⇒ (6x/5x)2 = (36/5p)
⇒ 36/25 = 36/5p
p = 5