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Jansatabdi Express crossed a lamp post in 65 sec and Duranto Express crossed the same post in 30 seconds. If the length of Duranto Express is two-third of that of the Jansatabdi Express, what is the ratio of the speeds of Jansatabdi and Duranto Express?

Jansatabdi Express crossed a lamp post in 65 sec and Duranto Express crossed the same post in 30 seconds. If the length of Duranto Express is two-third of that of the Jansatabdi Express, what is the ratio of the speeds of Jansatabdi and Duranto Express? Correct Answer 9 ∶ 13

Given:

Jansatabdi Express crossed a lamppost in 65 sec and Duranto Express crossed the same post in 30 second

The length of Duranto Express is two-third of that of Jansatabdi Express

Formula Used:

Speed = Distance/Time

Calculation:

Let the length of Janasatabdi express be x.

The length of Duranto Express is two-third of Jansatabdi Express = x × 2/3 = 2x/3

Jansatabdi Express crossed a lamppost in 65 sec

⇒ Speed of Janasatabdi Express = x/65 km

Duranto Express crossed the same post in 30 second

⇒ Speed of Duranto Express = 2x/3 × 1/30 = 2x/90 km

∴ Ratio of speed of Janasatabdi and Duranto Express = x/65 : 2x/90 = 9 ∶ 13

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