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1. Kathy bicycles 5 km/h faster than Javier. In the same time it takes Javier to bicycle 57 km, Kathy can bicycle 72 km. How fast does each bicyclist travel?

2. The office jet printer can copy Lisa's dissertation in 8 min. The laser jet printer can copy the same document in 10 min. If the two machines work together, how long would they take to copy the dissertation.

Solution Preview

(1) Let Kathy's speed be x km/h and Javier's speed be y km/h.

Then x = y + 5.

Time taken by Kathy to bicycle 72 km = 72/x = 72/(y + 5) ...

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