Hoozan wrote:
KarishmaB Vinit800HBSReading the first half we get:
Let total distance = D
Let Rate of each bus = R
Since they meet at D/2 in 2 hours we can infer that the total time = 4hrs
Now, reading the latter we get
Bus 1 had an early start of 1hr. So for 1hr, the bus drove at a rate of R thereby covering D/4 the distance.
But we see that the extra 1 hour results in the extra 24 miles. So why can't we say that Bus 1 drove at a rate of 24 miles/hour? and hence:
D = R x T
D = 24 x 4 --> 96 miles.
Dear Hoozan,
I am glad that you figured out that the meeting will happen exactly in the middle (Point P). And hence, the deduction that total duration will be 4 hours is perfect.
But, I am afraid that you missed the second aspect.
Read the following again:
Quote:
One bus is delayed 24 minutes and the other leaves 36 minutes earlier. If they meet 24 miles from point P
So, the meeting now is taking place at exactly in the middle of the remaining 3/4th Distance.
Check the attachment for the visualization
Attachments
Visualization of the situation.png [ 99.46 KiB | Viewed 961 times ]