P starts jogging from point X to point Y. 30 minutes later his friend R who jogs 1 km/hour slower than twice P's rate starts from the same point and follows the same path. If R overtakes P in 2 hours, how many kilometres will R have covered?

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Satt Academy · Accepted Answer

3.33 km - Let, s Ps rate  =  v per hour
R, s  rate  =  ( 2v  -  1)
P walks total  =  ( 2   +   1/2) hour
R walks total  =  2 hour
P, s distance  =  R's distance
v &times;( 2   +   1/2)  =  2 ( 2v  -  1)  =  4v  -  2
 v &times;5/2   =  4v  -  2
3v/2  =  2
v  =  4/3 and R's distance  =  4 &times;4/3  -  3  =  3.33

P starts jogging from point X to point Y. 30 minutes later his friend R who jogs 1 km/hour slower than twice P's rate starts from the same point and follows the same path. If R overtakes P in 2 hours, how many kilometres will R have covered?

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