CAT 2021 Slot 1 · Quant · Question 4
CAT 2021 Slot 1 previous year question on Time Speed and Distance, with the answer and a step-by-step solution.
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
- A184
- B192
- C190
- D180
Pick an option, then check.
Answer & solution
Answer: Option C
Speed of the faster train =\frac{160}{12}=\frac{40}{3} m/s =48 km/h. The other train runs at 42 km/h =\frac{35}{3} m/s. Relative speed =\frac{40}{3}+\frac{35}{3}=25 m/s, so the combined length is 25\times 14=350 m. Hence the other train is 350-160=190 m long.
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