an ovel bicycle track is 1km long and, the total distance for the race is 7.5km.cyclist 1 is going at an average speed of 15km/hr and cyclist 2 is going at an average speed if 30km / hr. when will the two cyclist meet
Answers
The two cyclists will meet after 0.17 hours, or approximately 10 minutes and 12 seconds.
Given:
An oval bicycle track is 1km long, the total distance for the race is 7.5km.
Cyclist 1 is going at an average speed of 15km/hr and Cyclist 2 is going at an average speed of 30 km/hr
To find:
When will the two cyclists meet
Solution:
Formula used:
Distance = Speed × Time
Let's call the time it takes for the two cyclists to meet "t" (in hours).
For Cyclist 1:
Distance covered by C1 = 15 × t = 15t
For Cyclist 2:
Distance covered by C2 = 30 × t = 30t
Here the sum of the distances covered by both cyclists will be equal to the total distance for the race which is 7.5 km
So, we can write the equation:
=> 15t + 30t = 7.5
On Simplifying we get
=> 45t = 7.5
=> t = 7.5/45
=> t = 0.5/3
=> t = 0.17 hours
Therefore,
The two cyclists will meet after 0.17 hours, or approximately 10 minutes and 12 seconds.
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EXPLANATION.
An ovel bicycle track is 1 km long.
The total distance for the race is 7.5 km.
Cyclist 1 is going at an average speed of 15 km/hr.
Cyclist 2 is going at an average speed of 30 km/hr.
As we know that,
Formula of :
Distance = Speed x Time.
Using this formula in this question, we get.
Cyclist 1 is going at an average speed of 15 km/hr.
⇒ 7.5 km = 15 km/hr x time.
time = 7.5/15.
time = 0.5 hours.
Cyclist 2 is going at an average speed of 30 km/hr.
⇒ 7.5 km = 30 km/hr x time.
time = 7.5/30.
time = 0.25 hours.
To find : When will two cyclist meet.
Time taken by cyclist 1st - Time taken by cyclist 2nd.
⇒ 0.5 - 0.25 = 0.25 hours.
∴ The two cyclist meet in 0.25 hours.