Question : A bus travels for three hours at 60 km/hr, four hours at 50 km/hr, and the next five hours at 50 km/hr. Find its average speed.
Option 1: 52.5 km/hr
Option 2: 52 km/hr
Option 3: 46 km/hr
Option 4: 50 km/hr
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Correct Answer: 52.5 km/hr
Solution : Given: A bus travels for three hours at $60$ km/hr, four hours at $50$ km/hr, and the next five hours at $50$ km/hr. Total distance travelled by the bus = $(60×3)+(50×4)+(50×5) = 630$ km Total time taken by the bus = $(3+4+5) = 12$ hours We know, $\text{Average speed}=\frac{\text{Total distance}}{{\text{Total time}}}$ Therefore, the average speed = $\frac{630}{12}=52.5$ km/hr Hence, the correct answer is 52.5 km/hr.
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Question : Rajinder drives his car at an average speed of 40 km/hr to cover half of his total distance and thereafter he increases his speed to 60 km/hr. He covers his journey in 7 hours. What is the average speed of Rajinder on this journey?
Option 1: 52 km/hr
Option 2: 48 km/hr
Option 3: 50 km/hr
Option 4: 54 km/hr
Question : The total distance in a journey is 750 km. A bus travels the first 200 km at a speed of 40 kmph. Find the speed of the bus (in kmph) for the next 550 km such that the average speed of the bus is 50 kmph.
Option 1: 55
Option 2: 60
Option 3: 45
Option 4: 40
Question : A train travelling from Mumbai to Goa covered the first 420 km at a speed of 60 km\hr and then covered the remaining 95 km at a speed of 65 km/hr. Find its average speed in km/hr.
Option 1: 63.5
Option 2: 60.86
Option 3: 62
Option 4: 62.3
Question : A bus starts from a bus stand after every 50 minutes in the same direction. Mohit is walking in the opposite direction at 50 km/hr. If Mohit meets each bus in 10 minutes, then what is the speed of the bus?
Option 1: 14.5 km/hr
Option 2: 15 km/hr
Option 3: 12.5 km/hr
Option 4: 10.5 km/hr
Question : A motorist travels to a place 150 km away at an average speed of 50 km/h and returns at 30 km/h. His average speed for the whole journey in km/h is
Option 1: 37.5
Option 2: 37
Option 3: 35
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