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A car travelling at 60 km …

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A car travelling at 60 km per hour left Dehradun at 3:00 pm.one hour later another car travelling at 80km per hour started over the same road to overtake the first. How long the second car must travel to overtake the first one ?
  • 1 answers

Yogita Ingle 5 years, 6 months ago

Let the time taken by second car overtake to the first car be x hours after it started.

 Total time taken by first car = (x + 1) hours.

 Total distance covered by first car in (x + 1) hours = 60(x + 1) km .

 Distance covered by second car in x hours = 80x .

Thus, Distance covered by first car is equal to second car .

∴ 60(x + 1) = 80x .

⇒ 60x + 60 = 80x .

⇒ 60 = 80x - 60x .

⇒ 60 = 20x .

{tex}⇒ \bf{\dfrac{60}{20}} = x{/tex}

∴ x = 3 .

Hence, the second car travelled in 3 hours to overtake the 1st car .

Therefore, time taken by second car to overtake the first car = 80x = 80 × 3 = 240 km.

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