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Problem 449. Grandpa's telescope

Created by AMITAVA BISWAS

Two grandkids Dorothy and Benjamin are sharing a telescope made by their grandpa, who used an old lens of spectacles as the objective. This objective lens has power of p diopter. Dorothy definitively watches a doghouse at distance d meters. Benjamin basically watches a birdhouse at distance b meters. After watching the doghouse, how much shift of the eyepiece in mm is necessary to watch the birdhouse? Please give a general solution, the test suite may be more extensive later.

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50 correct solutions 40 incorrect solutions
Last solution submitted on Jun 22, 2014