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A train does a journey without stopping in 9 hours. If it had travelled 4 km, an hour faster, it would have done the journey in 5 hours 24 min. What is its slower speed?


1. 4.8 km/h
2. 3.2 km/h
3. 2.4 km/h
4. 1.6 km/h

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Best answer
Correct Answer - Option 4 : 1.6 km/h

Let VS and VF be the slower and faster speeds of train.

Now, according to question,

9 × VS = 5(2/5) × VF

VS/VF = 27/(9 × 5)

 VS/VF = 3/5

Also, 4/VS - 4/VF = 1

 (VF - VS/ VFVS) = 1/4

(1 - VS/VF)/VS = 1/4

VS = 4 × (1 – 3/5) = 4 × 2/5 = 8/5 = 1.6 km/h

 VF = VS/(3/5) =  8/5/(3/5)= 8/3 = 2.6 km/h

slower speed is 1.6 km/h.

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