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'Slow Coach' printed from http://nrich.maths.org/
| A coach company runs a service that connects two towns,
Alphaton (A) and Betaville (B), which are $90$ miles apart. |
|
|
| The timetable below gives details of coaches travelling from A
to B: |
| A depart |
0600 |
0620 |
0640 |
0700 |
0720 |
0740 |
and at the same minutes past each hour until
... |
2100 |
2120 |
2140 |
2200 |
| B arrive |
0730 |
0750 |
0810 |
0830 |
0850 |
0910 |
2230 |
2250 |
2310 |
2330 |
|
| Coaches going from B to A leave at the same times: |
| B depart |
0600 |
0620 |
0640 |
0700 |
0720 |
0740 |
and at the same minutes past each hour until
... |
2100 |
2120 |
2140 |
2200 |
A
arrive |
0730 |
0750 |
0810 |
0830 |
0850 |
0910 |
2230 |
2250 |
2310 |
2330 |
|
| How many of this company's coaches travelling in the opposite
direction does the $10$ am coach from A pass before reaching
B? |
|
|