# Karnataka Express leaves Bangalore for Delhi at 06:00 p.m. and travels at a speed of 80 kmph. Rajdhani express leaves Delhi for Bangalore at the same

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Karnataka Express leaves Bangalore for Delhi at 06:00 p.m. and travels at a speed of 80 kmph. Rajdhani express leaves Delhi for Bangalore at the same time and travels at a speed of 120 kmph. The total distance between Delhi to Bangalore is 3,000 km. How much time will it take before both the trains meet each other?
1. 10 hrs
2. 14 hrs
3. 15 hrs
4. 12 hrs

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Correct Answer - Option 3 : 15 hrs

Given:

Speed of Karnataka Express = 80 km/h

Speed of Rajdhani express = 120 km/h

Distance between Delhi to Bangalore = 3,000 km

Concept used:

When two objects move in the opposite direction, then

Relative speed = S+ S2

where S1 and S= Speed of trains

Formula used:

Speed = Distance/Time

Calculation:

According to the questions,

The relative speed of both trains in opposite directions = 80 + 120

⇒ 200 km/h

Time required to meet the train = Distance/Speed

⇒ 3000/200

⇒ 15 hours

∴ The required time is 15 hours.