In a race of 100 m, A beats B by 20 m or 5 seconds. Find the time taken by A to complete the race and the speed of B.Marks : 2Negative Marks : 0Answer here4 s, 20 m/s20 s, 4 m/s20 s, 25 m/s25 s, 20 m/s
Question
In a race of 100 m, A beats B by 20 m or 5 seconds. Find the time taken by A to complete the race and the speed of B.Marks : 2Negative Marks : 0Answer here4 s, 20 m/s20 s, 4 m/s20 s, 25 m/s25 s, 20 m/s
Solution
The problem states that A beats B by 20 meters or 5 seconds in a 100 meter race. This means that when A has run 100 meters, B has run only 80 meters. It also means that B takes 5 seconds longer to run 100 meters than A does.
-
First, let's find the time taken by A to complete the race. We know that B takes 5 seconds longer to run 100 meters than A does. So, if we subtract these 5 seconds from the total time B takes to run 100 meters, we will get the time taken by A. But we don't know the total time B takes to run 100 meters. However, we know that B runs 80 meters in the same time that A runs 100 meters. So, the time taken by B to run 80 meters is the same as the time taken by A to run 100 meters. Therefore, the time taken by A to run 100 meters is the same as the time taken by B to run 80 meters, which is 5 seconds less than the time taken by B to run 100 meters. So, the time taken by A to complete the race is 20 seconds.
-
Now, let's find the speed of B. We know that speed is distance divided by time. B runs 80 meters in the same time that A runs 100 meters, which is 20 seconds. So, the speed of B is 80 meters divided by 20 seconds, which is 4 meters per second.
So, the time taken by A to complete the race is 20 seconds and the speed of B is 4 meters per second. Therefore, the correct answer is "20 s, 4 m/s".
Similar Questions
Jennifer is running the 100.0 m dash at track. She accelerates at a rate of 0.88 m/s2 for thefirst 45 m and then maintains this speed for the remainder of the race. How long will it takeher to finish the race? (Answer: t= 10.1 s + 6.2 s=16.3 s)
A and B take part in 100 m race. A runs at 5 kmph. A gives B a start of 8 m and still beats him by 8 seconds. The speed of B is:
In a 300 m race A beats B by 22.5 m or 6 seconds. B's time over the course is:86 sec
A runner makes one lap around a 200-m track in a time of 25 s. What were the runner’s average speed and average velocity?
Two identical trains A and B running in the opposite direction at the same speed take 2 minutes to cross each other completely. The number of bogies of A are increased from 16 to 20. How much more time would they now require to cross each other?Marks : 2Negative Marks : 0Answer here40 sec50 sec20 sec15 secClearPrevNext
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.