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Question

Prateek decides to go on a trip to Matheran along with his girlfriend. They start on his YBX and go by the newly opened Pune Mumbai expressway. At Khopoli, they have to get off the expressway and go the remaining distance on a smaller road. The total distance that Prateek covered was 170 km. His average speed on the expressway was 100 km/hr and off it was 50 km/hr. If the total journey took 2 hours, find the length of the journey that was undertaken on the expressway.

Solution
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Let the length of the journey be x, so x / 100 + (170 x) / 50 = 2. Solving we get x = 140 km.

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