A bakery and a library are 120 m apart. They are located between Hong's house and Jeya's house. The bakery is exactly half-way between the two houses. One day, Hong and Jeya started cycling from their houses at the same time and they arrived at the library together. Jeya cycled at 70 m per min while Hong cycled at a speed 15 m per min faster than Jeya. (a) How much further did Hong cycle than Jeya? (b) How far is Jeya's house from the library?
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