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CAT Exam Model Paper 2 with solutions for free online practice

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Question : 99 of 100

Marks: +1, -0

Two trains Punjab mail and Lucknow mail starts simultaneously from Patiyala and Lakhimpur respectively towards each other with the speed of 40 km/h and 60 km/h respectively on the same track Lakhimpur is 500 km due east of Patiyala. A plane starts flying at 200 km/h at the same time from Patiyala to Jalandhar. Jalandhar is 100 km due north of Patiyala. After travelling sometime, two trains Punjab mail and Lucknow mail collides with each other. The plane moves continuously to and fro between Patiyala to Jalandhar till the collision of the trains. How far would the plane have travelled?

Your Answer:

Solution:

Time taken in the collision the two trains =

= \frac{500}{(40+60)} = 5\,\mathrm{h}

In 5 hours, plane will cover 5 × 200 = 1000 km distance

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