A train covers a distance between station A and station B in 45 minutes If the speed of the train is...........

Quant (SSC) Problems on trains

A train covers a distance between station A and station B in 45 minutes. If the speed of the train is reduced by 5 km per hour, then the same distance is covered in 48 minutes. The distance between stations A and B is

60 km

64 km

75 km

90 km

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Explanation:

To solve this question, we can apply a short trick approach
Distance between 2 stations = (X x T₁ x T₂ / T₂ - T₁)
Reducing speed X = 5 km/hr = 5/60 km/min.
Time duration before reducing the speed T₁ = 45 min
Time duration after reducing the speed T₂ = 48 min
Distance between 2 stations = (X x T₁ x T₂ / T₂ - T₁)
= (5 x 45 x 48 /48 - 45) x 1/60
After solving the above equation, we get
Distance = 60 km.