Fly and cyclist

Two cyclists are at 20 km apart on a same line. They start at same time towards each other at a speed of 10 km/hr. A fly sitting on one of the cyclists handle start flying towards the other cyclists at a speed of 20 km/hr. It touches the handle and move back to first one. Likewise it goes on till the two cyclists meet each other. What is the distance the fly travelled, and how many times it moved to and fro?


x =  20 km
n = (Correct answer is: INF) Wrong answer

Step-by-step explanation:

v1=10 km/h v2=20 km/h s=20 km  v2>v1 t1=s/(v1+v2)=20/(10+20)=320.6667 h s1=v2 t1=20 0.6667=34013.3333 km  t2=(s2 t1 v1)/(v1+v2)=(202 0.6667 10)/(10+20)=920.2222 h s2=v2 t2=20 0.2222=9404.4444 km  t3=(s2 (t1+t2) v1)/(v1+v2)=(202 (0.6667+0.2222) 10)/(10+20)=2720.0741 h s3=v2 t3=20 0.0741=27401.4815 km  q1=t2/t1=0.2222/0.6667=310.3333 q2=t3/t2=0.0741/0.2222=310.3333 q=q1=0.3333=310.3333 a1=t1=0.6667=320.6667  t=t1+t2+t3+  t=1qa1=10.33330.6667=1 h  x=v2 t=20 1=20 km

Did you find an error or inaccuracy? Feel free to write us. Thank you!

Showing 1 comment:
There is a much simpler way to find the distance that the fly travels: The two cyclists are 20 km apart, and are traveling at 10 km/hr. So they will meet in the middle after 1 hour. The fly is traveling at 20 km/hr, and does so for 1 hour before the cyclists meet. So the fly travels 20 km.

Tips for related online calculators
Do you want to convert velocity (speed) units?
Do you want to convert time units like minutes to seconds?

You need to know the following knowledge to solve this word math problem:

Units of physical quantities:

Themes, topics:

Grade of the word problem:

Related math problems and questions: