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CAT 2018 Question Paper | Quants Slot 2

CAT Previous Year Paper | CAT Speed Time Distance Questions | Question 20

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Question 20 : Points A and B are 150 km apart. Cars 1 and 2 travel from A to B, but car 2 starts from A when car 1 is already 20 km away from A. Each car travels at a speed of 100 kmph for the first 50 km, at 50 kmph for the next 50 km, and at 25 kmph for the last 50 km. The distance, in km, between car 2 and B when car 1 reaches B is [TITA]

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Method of solving this CAT Question from Speed Time Distance

CAT 2018 Question Paper Quants Slot 2 Speed Time Distance

Given that points A and B are 150 km apart.
Cars 1 and 2 travel from A to B, but car 2 starts from A when car 1 is already 20 km away from A.
Each car travels at a speed of 100 kmph for the first 50 km, at 50 kmph for the next 50 km, and at 25 kmph for the last 50 km.
The Car 1 is 20km away from A and it travels at 100kmph and the time taken is \\frac{20}{100}) = \\frac{1}{5})hr
So car 2 is 12 minutes behind car 1.
We have to find the distance in km, between car 2 and B when car 1 reaches B.

If car 1 reaches B, car 2 will take 12 minutes to reach b.
Distance between car 2 and B is 25 × \\frac{1}{5}) = 5 kms
The distance, in km, between car 2 and B when car 1 reaches B is 5 kms.

The question is "Points A and B are 150 km apart. Cars 1 and 2 travel from A to B, but car 2 starts from A when car 1 is already 20 km away from A. Each car travels at a speed of 100 kmph for the first 50 km, at 50 kmph for the next 50 km, and at 25 kmph for the last 50 km. The distance, in km, between car 2 and B when car 1 reaches B is [TITA]"