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Select the correct answerAt 6 a.m a bus is moving with a speed of 60 kmph was 3 km behind a bike. At 6.45 a.m the bus was 12 km ahead of bike. Find the speed of the bike?Options50 km/h40 km/h48 km/h36 km/h

Question

Select the correct answerAt 6 a.m a bus is moving with a speed of 60 kmph was 3 km behind a bike. At 6.45 a.m the bus was 12 km ahead of bike. Find the speed of the bike?Options50 km/h40 km/h48 km/h36 km/h

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Solution

To solve this problem, we need to understand that the relative speed of the bus and the bike is the difference in their speeds.

  1. First, we calculate the total distance covered by the bus from 6 a.m to 6.45 a.m. The bus travels for 45 minutes, which is 0.75 hours. At a speed of 60 km/h, the bus covers a distance of 60 km/h * 0.75 h = 45 km.

  2. The bus was initially 3 km behind the bike and later it is 12 km ahead of the bike. So, the bus has covered an extra distance of 3 km + 12 km = 15 km.

  3. This extra distance of 15 km is covered due to the relative speed of the bus and the bike. So, the relative speed = extra distance / time = 15 km / 0.75 h = 20 km/h.

  4. The relative speed is the difference in their speeds. So, the speed of the bike = speed of the bus - relative speed = 60 km/h - 20 km/h = 40 km/h.

So, the correct answer is 40 km/h.

This problem has been solved

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