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MathNet 2020 — Math Olympiad Vault — Part 04 Question 98

Math Olympiad Vault · MathNet 2020 — Math Olympiad Vault — Part 04

Question 98

Zanobi and Veronica start swimming back and forth simultaneously in separate lanes, from the same end, at distinct constant speeds. When Veronica completes 28 pool lengths, Zanobi is beside her. When she completes 70 lengths, she stops and exits; at that moment Zanobi also reaches the same end and exits beside her. Zanobi is slower and has swum $m$ lengths. How many values can $m$ have?
(A)1
(B)3
(C)6
(D)35
(E)69