Question
Mathematics Question on Time Speed and Distance
In a 800 m race around a stadium having the circumference of 200 m, the top runner meets the last runner on the 5th minute of the race. If the top runner runs at twice the speed of the last runner, what is the time taken by the top runner to finish the race?
A
20 min
B
15 min
C
10 min
D
5 min
Answer
10 min
Explanation
Solution
The correct option is (C): 10
Explanation:
Let A be the top runner and B be the last runner
Both A and B starts running at same time.
After 5 mins A and B meet and A completes 400m and B completes 200m (Ratio of speed is 2:1)
After another 5 mins A completes 800m and B completes 400m. Thus, A finishes the race
Time taken by A = 5+5=10mins