John started from his home to his office, After 2 hours, his friend Ali started from office towards john's home. By the time John travelled one-fifth of the total distance, Ali had also travelled the same. Ali's speed is thrice of that of john's speed. Quantity I: Difference in time (in hours) taken by john and Ali to reach their respective destinations. Quantity II: 12 hours

John started from his home to his office, After 2 hours, his friend Al

1.	John started from his home to his office, After 2 hours, his friend Ali started from office towards john's home. By the time John travelled one-fifth of the total distance, Ali had also travelled the same. Ali's speed is thrice of that of john's speed. Quantity I: Difference in time (in hours) taken by john and Ali to reach their respective destinations. Quantity II: 12 hours
Answer» Quantity `I=` Quantity II or No relation Quantity `I le` Quantity II Quantity `I ge` Quantity II Quantity `I GT` Quantity II Solution :Let trhe speed of John b E x kmph. Distance travelled by John in 2 hours = 2x km. SUPPOSE John takes 't'hours to TRAVEL `1/5` thof the distance d km. Ali would take (t-2) hours to travel `1/5th` of the distance d km. As Ali's sped is thrice that of John's speed. `(t-2)/(t)=1/3impliest=3` `1/5th` of the distance `d=3x` km. `d=15x` km Time taken by John to cover 15x km `=(15x)/(x)=15` hourse Time taken by Ali to cover 15x km `=(15x)/(3x)=5` hours. `THEREFORE` Difference in the time = 10 hours. Quantity I: Difference in the time = 10 hours. Quantity II: 12 hours Quantity `I lt` Quantity II