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  • The bakery is right between Hong’s house and Jeya’s house.
  • The library is 120 m closer to Jeya from the bakery.
  • Hong had to cycle to the bakery and then 120 m more.
  • Jeya had to cycle 120 m less than the way to the bakery.
  • Hong cycled 2×120 m = 240 m more than Jeya.
  • They both arrive at the same time, so Hong cycling 15 \frac{m}{min} faster enabled her to cycle 240 m more. Per \frac{240 m}{15 \frac{m}{min}} = 16 min, we learn that Hong and Jeya cycled for 16 minutes.
  • In 16 minutes, Jeya cycled 16 min × 70 \frac{m}{min} = 1120 m to the library.
I bookmarked your solution. It’s so elegant - and you used logic to arrive at the answer.
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