A car travels a distance of 80 km. For the first 30 minutes it is driven at a constant speed of 80 km/hr. The motor begins to vibrate and the driver reduces the speed to 40 km/hr for the rest of the trip. The average speed for the entire trip is Question 4Answera.47.5 km/hrb.50 km/hrc.60 km/hrd.40 km/hre.53.3 km/hr
Question
A car travels a distance of 80 km. For the first 30 minutes it is driven at a constant speed of 80 km/hr. The motor begins to vibrate and the driver reduces the speed to 40 km/hr for the rest of the trip. The average speed for the entire trip is Question 4Answera.47.5 km/hrb.50 km/hrc.60 km/hrd.40 km/hre.53.3 km/hr
Solution
To solve this problem, we first need to determine the total time of the trip.
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The car travels at 80 km/hr for the first 30 minutes. Since there are 60 minutes in an hour, this means the car travels for 0.5 hours at this speed. In this time, the car covers a distance of Speed * Time = 80 km/hr * 0.5 hr = 40 km.
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The remaining distance to be covered is 80 km - 40 km = 40 km. The car travels this distance at a speed of 40 km/hr. Therefore, the time taken to cover this distance is Distance / Speed = 40 km / 40 km/hr = 1 hr.
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The total time of the trip is 0.5 hr + 1 hr = 1.5 hrs.
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The average speed is the total distance divided by the total time. Therefore, the average speed is 80 km / 1.5 hr = 53.3 km/hr.
So, the answer is e. 53.3 km/hr.
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