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After traveling by boat for 7 1⁄3 weeks, The Rohingya people had traveled 5⁄6 of the length of their trip to Malaysia. How long (in weeks) is the entire length of his trip?

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Answer: 8 4/5 weeks

Step-by-step explanation:

Let the length of entire trip = 1

Length of trip already traveled = 5/6

Time taken to cover 5/6 length = 7 1/3 weeks

Then;

Length of trip left to cover = (1 - 5/6) = 1/6

Therefore, if (5/6) takes 22/3 weeks

(5/6) = 22/3

1/6 length of the trip = (22/3) ÷ 5

= (22 /3) × (1 / 5)

= 22/ 15 = 1 7/15 weeks

Therefore, length of entire trip ;

(1 / 6) * 6 --------> (22 / 15) × 6

Full length of trip = 132 / 15

Full length of trip = 8 12/15

= 8 4/5 weeks

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