kop18 wrote:
Hi
Bunuel I have a doubt in this question.....why is d/4 (the extra distance covered by the bus that left early) not equal to 24 Miles? Both the buses would ideally travel d/2 in 2 hrs, since this bus had a head start of an hour it covered
some more miles = x than the other bus that started late. Why is x not equal to 24? Shouldn't that extra 1 hour account for the extra 24 miles travelled by one of the buses?
In this case the distance would be d/4= 24mile =>> d =96 miles?
The early bus, in its one-hour head start, covers an extra distance which we can call "x". This "x" is a quarter of the total distance between the two cities.
When both buses eventually meet, they're 24 miles away from point P. This 24 miles doesn't represent the full extra distance "x" traveled by the early bus. Instead, it's only half of "x", because both buses are moving towards each other, effectively halving the advantage the early bus had.
So, while the early bus travels an extra distance equivalent to a quarter of the total distance in its head start, the point where they meet being 24 miles from point P shows that the extra advantage it maintains when they meet is only an eighth of the total distance, which is 24 miles.
Hope it's clear.