An express train left Delhi for Howrah at $3$ pm at an average speed of $60$ km/hr. At $1$ pm a goods train also had left Delhi for Howrah on a parallel track at an average speed of $40$ km/hr. How far from Delhi is the express train expected to overtake the goods train?

200

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220

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240

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280

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Solution

The correct option is C $240$ km
Distance covered by goods train before express train leaves $= 40 \times 2 = 80$ km.
Relative speed $= (60 - 40)$ km/hr $= 20$ km/hr
$∴$ Time taken to cross each other $=$ $\frac{80}{20}$ hrs $= 4$ hrs
$∴$ Distance from Delhi where the express train is expected to overtake the goods train $= (4 \times 60)$ km $= 240$ km.

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An express train left Delhi for Howrah at 3 pm at an average speed of 60 km/hr. At 1 pm a goods train also had left Delhi for Howrah on a parallel track at an average speed of 40 km/hr. How far from Delhi is the express train expected to overtake the goods train?

An express train left Delhi for Howrah at $3$ pm at an average speed of $60$ km/hr. At $1$ pm a goods train also had left Delhi for Howrah on a parallel track at an average speed of $40$ km/hr. How far from Delhi is the express train expected to overtake the goods train?