Method of approach:

• Assume the bus takes T hours from X to Y.

• The car leaves 2 hours later but still reaches together, so it’s faster and takes 2 hours less.

• When they start from opposite ends, they meet in 1.33 hours, meaning together they cover the full distance in that time.

• Use this meeting time to compare their relative speeds since you know the ratio of their times (bus:car = T : (T−2)), you can get their speed ratio as (T−2) : T.

• Combine this with the meeting condition (together they cover one full distance in 1.33 hours) to find T.