Question

The speed of a car is 25% more than that of a bike. Both of them start from a same point. After travelling for 6 hours, the speed of the bike is increased by 45%. After 8 hours from starting, the car was 44 km ahead of the bike. Find the initial speed of the bike.

A 30 km/hr Correct Answer Incorrect Answer
B 44 km/hr Correct Answer Incorrect Answer
C 40 km/hr Correct Answer Incorrect Answer
D 50 km/hr Correct Answer Incorrect Answer
E None of these Correct Answer Incorrect Answer

Solution

Let the initial speed of the bike be lsquo;xrsquo; km/hr Therefore, speed of the car = 1.25x km/hr According to the question, 8 times; 1.25x ndash; (6x + 2 times; 1.45x) = 44 =gt; 10x ndash; 8.9x = 44 =gt; x = 44/1.1 = 40 km/hr

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