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?

A 2.2 km
B 3.33 km
C 4 km
D 6 km

Correct 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 ×( 2 + 1/2) = 2 ( 2v - 1) = 4v - 2 v ×5/2 = 4v - 2 3v/2 = 2 v = 4/3 and R's distance = 4 ×4/3 - 3 = 3.33
Bissoy MCQ
#গণিত #Union Bank Ltd #Union Bank ltd - Management Trainee Officer - 23.05.2014

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