Find the average speed of a bicycle if it completes two round of a circular track of radius 140m twice in 5min 52 sec.a)10m/sb)5m/sc)2m/sd)4m/sCorrect answer is option 'B'. Can you explain this answer?

Question

Answer

Finding the Average Speed of a Bicycle

Given data:
Radius of the circular track = 140m
Number of rounds completed by a bicycle = 2
Time taken to complete 2 rounds = 5 minutes 52 seconds

Converting time to seconds:
5 minutes = 300 seconds
52 seconds = 52 seconds
Total time taken in seconds = 300 + 52 = 352 seconds

Calculating the total distance covered:
Distance covered in one round = circumference of the circle = 2πr = 2 × 22/7 × 140 = 880m
Distance covered in two rounds = 2 × 880 = 1760m

Calculating the average speed of the bicycle:
Average speed = Total distance covered / Total time taken
Average speed = 1760 / 352 = 5m/s

Therefore, the correct option is (b) 5m/s.

Explanation:
The average speed is the total distance covered by the bicycle divided by the total time taken. Here, we first calculated the distance covered by the bicycle in two rounds of the circular track. Then, we converted the given time in minutes and seconds to seconds and calculated the total time taken. Finally, we divided the total distance covered by the total time taken to find the average speed of the bicycle. The correct option is (b) 5m/s.

Answer

Total distance=2*(2πr). (circumference=2πr).
=2(2*22/7*140). (radius=140)
=1760metres.

time taken=5minutes 52seconds
=(60*5)+52 seconds
=300+52
=352seconds.

speed=distance/time taken
=1760/352
=5metre/seconds. (option-B)

Answer

Given:

Radius of the circular track = 140 metres (r)
Time taken = 5 minutes 52 seconds
Two rounds were completed
To find:
Average speed.
Average speed = total distance / total time

Total distance = 2× 2πr(As two rounds were completed)

Total distance = 2×2×22/7×140

Total distance =1760 metres

Total time = 5 minutes 52 seconds
1 minute = 60 seconds
5 minutes 52 seconds =5×60+52
5 minutes 52 seconds = 352 seconds

Now,
Average Speed = (1760÷352) m/s
= 15 m/s

Hence, the average speed of bicycle is equals to 15 m/s

Answer

The radius of the circle is = 140 m
Time taken is = 5 min 52 seconds
As we know;
1 min = 60 seconds
5 mins = 5 × 60 seconds
= 300 seconds
300 + 52 = 352 seconds
Circumference of circle is 2 × pie × r
= 2 × 22/7 ×140
= 880m
Since the circle moved twice so Circumference will be
880 × 2 = 1760m
Average speed = Total distance ÷ Total time
Therefore, 1760 ÷ 352 = 5m/s Ans.

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