43i) Places A and B are 30 km apart and they are ona straight road. Ha

1.	43i) Places A and B are 30 km apart and they are ona straight road. Hamid travels from A to B onbike. At the same time Joseph starts from B onbike, travels towards A. They meet each otherafter 20 minutes. If Joseph would have startedfrom B at the same time but in the oppositedirection (instead of towards A) Hamid wouldhave caught up with him after 3 hours. Find the(4 marks)speed of Hamid and Joseph.
Answer» Let speed of Hamid be vspeed of Joseph be u Distance covered by Hamid in 20 min= v20/60 = v/3 Distance covered by Joseph in 20 min= u20/60 = u/3 v/3 + u/3 = 30v + u = 90.....(1) Distance covered by Hamid in 3 hrs= 3v Distance covered by Joseph in 3 hrs= 3u 3v = 3u + 30v - u = 10.......(2) Add eq(1) and eq(2) 2v = 120v = 60 km/hr Put value of v = 60 in eq (1)60 - u = 90u = - 30 km/hr Speed of Hamid = 60 km/hrSpeed of Joseph = 30 km/hr in opposite direction of Hamid

43i) Places A and B are 30 km apart and they are ona straight road. Hamid travels from A to B onbike. At the same time Joseph starts from B onbike, travels towards A. They meet each otherafter 20 minutes. If Joseph would have startedfrom B at the same time but in the oppositedirection (instead of towards A) Hamid wouldhave caught up with him after 3 hours. Find the(4 marks)speed of Hamid and Joseph.

Answer»

Let speed of Hamid be vspeed of Joseph be u

Distance covered by Hamid in 20 min= v*20/60 = v/3

Distance covered by Joseph in 20 min= u*20/60 = u/3

v/3 + u/3 = 30v + u = 90.....(1)

Distance covered by Hamid in 3 hrs= 3v

Distance covered by Joseph in 3 hrs= 3u

3v = 3u + 30v - u = 10.......(2)

Add eq(1) and eq(2)

2v = 120v = 60 km/hr

Put value of v = 60 in eq (1)60 - u = 90u = - 30 km/hr

Speed of Hamid = 60 km/hrSpeed of Joseph = 30 km/hr in opposite direction of Hamid