The speed of a car is 30% more than that of a bike. Both of them start from a same point. After travelling for 4 hours, the speed of the bike is increased by 40%. After 6 hours from starting, the car was 52 km ahead of the bike. Find the initial speed of the bike.
Let the initial speed of the bike be x km/hr Therefore, speed of the car = 1.30x km/hr According to the question, 6 × 1.30x - (4x + 2 ×1.40x) = 52 => 7.8x - 6.8x = 52 => x = 52/1 = 52 km/hr
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