A car travelling at 60km/hr left Dehradun at 3p.m . One hour later , another car travelling at 80km/hr started over the same road to overtake the first , how long must the second car travel to overtake the first car
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→ 3 hours and 240 km.
Step-by - step explanation:
→ 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 coved by first car is equal to second car.
.°. 60 (x + 1) = 80x.
●60x + 60 = 80x.
→ 60 - 80x = 60x.
●60 - 20x.
● 60\20 = X
●x = 3.
Hence, the second car traveled in 3 hours to overtake the 1st car.
Therefore, time taken by second car to overtake the first car = 80x = 80 x 3 = 240 km.
Hope it helps you
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