Difference between revisions of "1997 PMWC Problems/Problem T4"
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Time <math>t</math>, velocity <math>v</math>, distance <math>a</math>, formula <math>v=\frac{a}{t}</math> or <math>a=v \cdot t</math>. | Time <math>t</math>, velocity <math>v</math>, distance <math>a</math>, formula <math>v=\frac{a}{t}</math> or <math>a=v \cdot t</math>. | ||
Time of departure <math>T</math>. | Time of departure <math>T</math>. | ||
Revision as of 04:28, 10 October 2013
Problem
In one morning, a ferry traveled from Hong Kong to Kowloon and another ferry traveled from Kowloon to Hong Kong at a different speed. They started at the same time and met first time at 8:20. The two ferries then sailed to their destinations, stopped for 15 minutes and returned. The two ferries met again at 9:11. Suppose the two ferries traveled at a uniform speed throughout the whole journey, what time did the two ferries start their journey?
Solution
Time 
, velocity 
, distance 
, formula 
or 
.
Time of departure 
.
First, ferry 1: 
and ferry 2: 
; sum 
.
Second, difference in time: 
.
Ferry 1: 
and ferry 2: 
; sum 
.
Dividing: 
, so 
.
See Also
| 1997 PMWC (Problems) | ||
| Preceded by Problem T3 |
Followed by Problem T5 | |
| I: 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 T: 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 | ||
