Select the correct answerThe driver of an ambulance sees a bus 40 m ahead of him, after 20 seconds the bus is 60 m behind. If the speed of the ambulance is 30 kmph what is the speed of the bus?Options15 km/hr12 km/hr10 km/hr22 km/hr
Question
Select the correct answerThe driver of an ambulance sees a bus 40 m ahead of him, after 20 seconds the bus is 60 m behind. If the speed of the ambulance is 30 kmph what is the speed of the bus?Options15 km/hr12 km/hr10 km/hr22 km/hr
Solution
To solve this problem, we first need to understand that the ambulance has covered a distance of 100m (40m ahead + 60m behind) in 20 seconds.
Step 1: Convert the speed of the ambulance from km/hr to m/s. We know that 1 km/hr = 5/18 m/s. So, 30 km/hr = 30 * (5/18) = 25/3 m/s.
Step 2: Calculate the distance covered by the ambulance in 20 seconds. Distance = Speed * Time. So, the distance covered by the ambulance = 25/3 m/s * 20 s = 500/3 m.
Step 3: The bus is 100m behind the ambulance after 20 seconds. So, the distance covered by the bus = 500/3 m - 100m = 400/3 m.
Step 4: Calculate the speed of the bus. Speed = Distance / Time. So, the speed of the bus = (400/3 m) / 20 s = 20/3 m/s.
Step 5: Convert the speed of the bus from m/s to km/hr. We know that 1 m/s = 18/5 km/hr. So, 20/3 m/s = 20/3 * (18/5) = 12 km/hr.
So, the speed of the bus is 12 km/hr. The correct answer is 12 km/hr.
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