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two men start from 2 places 600km apart and travel towards each other, the first travelling 5km/h faster than the other. they meet after 8 hours. what is the speed of the fastest man? I know that this relates to the following formula; speed = distance/time, but don't understand how to resolve correctly

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If they meet after 8 hours, then the sum of their average speeds is 600/8=75 km per hour. If one is 5 km per hour faster than the other, then if we set the speed of the slower man to x, we have:

2x+5=75

So:

2x=70

x=30

The fastest man is 5 km per hour faster than the slower, so he travels 35 km per hour.
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