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Question

Mathematics Question on Time Speed and Distance

A train travels a distance of 300 km at a constant speed. If the speed of the train is increased by 5 km an hour the journey would have taken 2 h less. The original speed of the train was

A

25 km/hr

B

28 km/hr

C

20 km/hr

D

30 km/hr

Answer

25 km/hr

Explanation

Solution

Let the normal speed of train =x=x km/hr
Let the normal time of train =T=T hours
300x=T\frac{300}{x}=T (i)

300x+5=T2\frac{300}{x+5}=T-2 (ii)

Solving equations (i) and (ii), we get
x=25,30x=25,-30 (not possible)
\therefore Speed of train =25km/hr=25km/hr
The correct option is (A)