CAT 2021 Exam Question Papers Slot 1 | CAT Quants
CAT Quantitative Aptitude | CAT 2021 Question Papers
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All CAT 2021 Quantitative aptitude questions have detailed answer keys and solutions provided by our experts. Watch the videos below to learn the fastest ways to answer the questions:
Two trains cross each other in 14 seconds when running in opposite directions along parallel tracks. The faster train is 160 m long and crosses a lamp post in 12 seconds. If the speed of the other train is 6 km/hr less than the faster one, its length, in m, is
184
180
190
192
Explanation
Let speed of faster train be V1 and of the other train beV2 m/s.
Then V1 = = m/s
The speed of the other train is 6 km/hr = 6 x = m/s less than the speed of faster train So, V2 = - = m/s
Relative speed when trains run in opposite direction = V1 + V2 = = 25 m/s Distance moved in 14 s = 14 x 25 = 350 m
This distance is the sum of lengths of two trains. So, faster train being 160 m long
length of other train = 350 – 160 = 190 m
Ans (3)