Alex travels 90 miles in the same time that Ani travels 75 miles.

If Alex's rate of travel is 5mph more than Ani's, and they travel the same length of time, at what speed does Alex travel?

Please illustrate the process to find the speed Alex traveled
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If the time travelled is the same for Ani and Alex and we know that distance divided by speed gives this time, we can write an equation linking the two different speeds: s (Ani's speed) and s+5 (Alex's speed): 90/(s+5)=75/s. Cross-multiply by s(s+5): 90s=75(s+5), so 90s=75s+375, from which 15s=375 or s=25 mph. Alex's speed is 5 mph more than s=30 mph. Plug the speeds into (distance/speed) we find that 90/30=75/25=3 hrs.

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