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1. A car after traveling 18 km from a point A developed some problem in the engine and the speed became 45 th of its original speed. As a result, the car reached point B 45 minutes late. If the engine had developed the same problem after traveling 30 km from A, then it would have reached 36 minutes late. The original speed of the car (in km/h) is:

Solution:
He proceeds at 45 S where S is his usual speed means 15 decrease in speed which will lead to 14 increase in time.
Now the main difference comes in those 12km (30 - 18) and the change in difference of time = (45 - 36) min = 9 min

Thus,
14 × T = 9 min where T is the time required to cover the distance of (30 - 18) = 12 km
T = 36 min = 3660 hours = 0.6 hours.
Speed of the car = 120.6 = 20 kmph.

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