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A motorcycle covers 50 km at a speed of 25 km/h. Find the speed of the motorcycle for the next 50 km of the journey so that
the average speed of the whole journey will be 30 km/h.
32.5 km/h
37.5 km/h
40 km/h
35 km/h
- To find the average speed, divide total distance by total time.
- The first 50 km is covered at 25 km/h, taking 2 hours (50 km / 25 km/h).
- Total distance is 100 km. Average speed desired is 30 km/h, so time taken for 100 km should be 100 km / 30 km/h = 3.33 hours.
- For the second leg of 50 km, time taken should be 3.33 hours - 2 hours = 1.33 hours.
- Speed required for the second 50 km: 50 km / 1.33 hours ˜ 37.5 km/h.
- Option 1: 32.5 km/h (Too slow for the average speed required)
- Option 2: 37.5 km/h (Calculations confirm this is correct)
- Option 3: 40 km/h (Faster than needed, thus not required)
- Option 4: 35 km/h (Still too slow for the desired average)
By: santosh ProfileResourcesReport error
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