A car travelling at 60 km/hr left Dehradun at 3 P.M. One hour later, another car travelling at 80 km/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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Answer:
3 hrs .
Step-by-step explanation:
Speed of car leaving Dehra Dun at 3 P.M = 60 km/hr .
Car leaving at 80 km/hr travel the same distance .
Distance = speed × time .
Case 1
D = 60 × ( t + 1 )
Case 2
D = 80 t
According to problem :
80 t = 60 ( t + 1 )
⇒ 80 t = 60 t + 60
⇒ 20 t = 60
⇒ t = 60/20
⇒ t = 3
Hence the time will be 3 hours.
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