Her period will end when she is on her way to Makkah but she cannot do ghusl

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What is the evidence for the maximum length of menses being fifteen days, and what is the maximum length of tuhr (purity)?
Complete vs. acceptable ghusl

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Related Answers:
If a woman gives birth and does not bleed, or she bleeds a little then it stops before the end of forty days
Her period comes twice a month – should she stop praying and fasting each time?
A woman has been bleeding after childbirth for 40 days and it has not yet stopped. Should she fast and pray?
What is the evidence for the maximum length of menses being fifteen days, and what is the maximum length of tuhr (purity)?
Complete vs. acceptable ghusl

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