# Hemant travels from Delhi to Bangalore. He takes 10 hrs. more if travels by train. If the speed of train becomes thrice, then he takes 10 hrs. less th

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Hemant travels from Delhi to Bangalore. He takes 10 hrs. more if travels by train. If the speed of train becomes thrice, then he takes 10 hrs. less than flight. What is the speed of train if distance between Delhi to Bangalore is 1230 km?
1. 41 kmph
2. 37 kmph
3. 45 kmph
4. 49 kmph

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Correct Answer - Option 1 : 41 kmph

Given:

Distance between Delhi to Bangalore = 1230 km

Difference between times for travelling by train and flight = 10 hrs.

Formula Used:

Speed = Distance/Time

Calculations:

Let the speed of train and flight be x kmph and y kmph respectively.

(1230/x) – (1230/y) = 10      ----(1)

When speed of train becomes thrice

(1230/y) – (1230/3x) = 10      ----(2)

Adding (1) and (2), we get

⇒ (1230/x) – (1230/3x) = 20

⇒ 1230 × (2/3x) = 20

⇒ x = 1230 × (2/3) × (1/20)

⇒ x = 41 kmph

∴ The speed of train is 41 kmph.