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CAT 2024 - Slot 1 Quant Question 17

This is a detailed step-by-step solution for CAT 2024 - Slot 1 Quant Question 17. Understand the concept, common mistakes, and expert tips to solve similar questions in CAT exam.

CAT 2024 Slot 1 - Quant

We can use the formula for when two people moving towards each other and meeting in a straight line.
t2 = t1 × t2
Where t is time taken for them to meet each other. t1 is the time taken by person 1 to reach the destination after meeting and t2 is the time taken by person 2 to reach the destination after meeting
We are told they meet each other in 1 and a half hours, that is 90 minutes.
And if Sunil takes X minutes to reach A, Anil will take X + 75 minutes
Since it is given that, Anil reaches B exactly 1 hour 15 minutes after Sunil reaches A

Total time of travel of Anil is, 90 min + 60 min + 75 min
Total of 225 minutes.
Time in hours will be 3.75 hours.
Speed is 45/3.75 = 12 km/hr

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