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Quantitative Reasoning – At what time do they meet!

PSA 2014_XI_Q5. Paavan and Lahar are friends who have decided to travel to each other’s cities,32 km apart. They both left from their own houses at 8 am, and their predicted journeys are sketched below.

PSA 2014_XI_Q5_1

PSA 2014_XI_Q5_2

 

At which of following times did Paavan meet Lahar on his journey ?
1) between 10.00 and 10.30 am
2) between 10.30 and 11:00 am
3) between 12.00 and 12.30 pm
4) between 2.00 and 2.30 pm

Ans: After two hours Paavan has travelled 12 km and Lahar 16 km. Thus at 10:00 am, they have covered 28 km. After half an hour Paavan has travelled 5 km more (12 km to 17 km) and Lahar 4 km (16km to 20 km). Therefore they would definitely have met each other between 10.00 and 10.30 am. Option 1.

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