Q7 of 61 Page 27

Places A and B are 30 km apart and they are on a straight road. Hamid travels from A to B on bike. At the same time Joseph starts from B on bike, travels towards A. They meet each other after 20 minutes. If Joseph would have started from B at the same time but in the opposite direction (instead of towards A) Hamid would have caught him after 3 hours. Find the speed of Hamid and Joseph.

Let the speed of Joseph = x km/h

Let the speed of Hamid be = y km/h


When approaching each other, combined speed =


Time taken to meet =



When moving away from each other, combined speed =


Time taken for Hamid to catch up =



Equating I and II,






Substituting x=50in eq. I





Hamid's speed 50 km/hr.


Joseph's speed 40 km/hr.


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