In an 8000-meter race around a circular stadium with a circumference of 2000 meters, the fastest runner, Rohan, and the slowest runner, Soham, start from the same point and reach the starting point together at the end of the 10th minute, for the first time after the start of the race. If Rohan runs at twice the speed of Soham, what is the time taken by Rohan to finish the race?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 20 minutes
Given that
The race length is 8000 m
The circumference of stadium is 2000 m
The speed of Rohan is twice that of Soham.
At the end of the 10th minute, they meet for the first time.
As we know,
Distance = Speed × time
The speed of Soham = Circumference/Time
= 2000/(10/60) = 12000 m/hr
The speed of Rohan = 2 × the speed of the Soham
= 2 × 12000 = 24000 m/hr
Now, Time taken by Rohan = Total distance/Speed of Rohan
= 8000/24000 hr = 60/3 minutes = 20 minutes