Ram and shyam run a race of 2000 m. first, ram gives shyam a start of 200 m and beats him by30 s. next, ram gives shyam a start of 3 min and is beaten by 1000 metres. find the time inminutes in which ram and shyam can run the race separately.
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Let us denote the running speed of Ram be "A" and Shyam be "B"
In first scenario,
When Ram gives Shyam a start of 200 m and beats him by 30 seconds.
1800/B – 2000/A = 30
In second scenario,
When Ram gives Shyam a start of 3 min i.e. 180seconds and is beaten by 1000 metres
2000/B – 1000/A = 180
Solving the two equation, the values of A and B are:
A= 25/3 m/s
B = 20/3 m/s
Time taken = Distance /Speed
Time taken by Ram to run the ground= 2000*3*/25 = 240 seconds= 4 min
Time taken by Shyam to run the ground = 2000*3/20 = 300 seconds = 5 min
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