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On a tour, a man travels at the rate of 64 km an hour for the first 160 km. He then travels the next 160 km at the rate of 80 km an hour. What is the average speed (in km per hour) for the first 320 km of the tour?
  • a)
    71.11
  • b)
    72
  • c)
    35.55
  • d)
    36
Correct answer is option 'A'. Can you explain this answer?
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On a tour, a man travels at the rate of 64 km an hour for the first 16...
To find the average speed for the first 320 km of the tour, we need to calculate the total time taken to cover this distance and then divide it by the total distance.

Let's find the time taken for the first 160 km:
Speed = 64 km/h
Distance = 160 km
Time = Distance/Speed = 160/64 = 2.5 hours

Now, let's find the time taken for the next 160 km:
Speed = 80 km/h
Distance = 160 km
Time = Distance/Speed = 160/80 = 2 hours

The total time taken to cover the first 320 km is the sum of the times taken for the first and next 160 km:
Total Time = 2.5 hours + 2 hours = 4.5 hours

Finally, we can calculate the average speed for the first 320 km:
Average Speed = Total Distance / Total Time = 320 km / 4.5 hours = 71.11 km/h

Therefore, the average speed for the first 320 km of the tour is 71.11 km/h, which corresponds to option A.
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On a tour, a man travels at the rate of 64 km an hour for the first 160 km. He then travels the next 160 km at the rate of 80 km an hour. What is the average speed (in km per hour) for the first 320 km of the tour?a)71.11b)72c)35.55d)36Correct answer is option 'A'. Can you explain this answer?
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