Discussion
Two trains starting at the same time from two stations 180 km apart and going in the opposite directions, cross each other at a distance of 110 km from one of the stations. What is the ratio of their speeds?
Answer: D
The ratio of speeds is 11 : 7. Starting together and meeting after the same time, the trains cover distances in the ratio of their speeds. One covers 110 km and the other 180 - 110 = 70 km, so the ratio is 110 : 70 = 11 : 7. 11 : 9 uses 90 for the other train, 11 : 5 uses 50, and 7 : 13 reverses and changes the figures. Because both trains travel for the same time, their speeds are proportional to the distances travelled. The first train has gone 110 km and the second has gone the remaining 180 - 110 = 70 km; dividing both by 10 gives 11 : 7.
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