Difference between revisions of "1997 PMWC Problems/Problem T4"
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==Problem== | ==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? | + | 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 <math>8:20</math>. The two ferries then sailed to their destinations, stopped for <math>15</math> minutes and returned. The two ferries met again at <math>9:11</math>. Suppose the two ferries traveled at a uniform speed throughout the whole journey, what time did the two ferries start their journey? |
==Solution== | ==Solution== |
Latest revision as of 13:40, 20 April 2014
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 . The two ferries then sailed to their destinations, stopped for
minutes and returned. The two ferries met again at
. 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 |