unskilled workers.(6) Places A and B are 30 km apart and they are on a

1.	unskilled workers.(6) Places A and B are 30 km apart and they are on a straight road. Hamid travelsfrom A to B on bike. At the same time Jeseph sterts frem Bon bike, travels towards A. They meet each other after 2eminutes. If Joseph would have started from B at the sametime but in the opposite direction (instead of towards A)Hamid would have caught him after 3 hours. Find the speedof Hamid and Joseph.\|回£2回
Answer» Let the speed of Joseph = xkm/h Let the speed of Hamid = ykm/h When approaching one another, combined speed = (x+y)km/h Time taken to meet = 30/(x+y) = 1/3 (20 minutes = 1/3 hours) x+y = 90 ------ (i) When moving in opposite direction, combined speed = (x-y)m/h Time taken for Hamid to catch up = 30/(x-y) = 3 x-y = 10 ---- (ii) Solving (i) and (ii) simultaneously x+y = 90x-y = 10_______2x = 80x = 40 y = 50 ∴ Speed of Joseph =40km/h Speed of Hamid =50km/h

unskilled workers.(6) Places A and B are 30 km apart and they are on a straight road. Hamid travelsfrom A to B on bike. At the same time Jeseph sterts frem Bon bike, travels towards A. They meet each other after 2eminutes. If Joseph would have started from B at the sametime but in the opposite direction (instead of towards A)Hamid would have caught him after 3 hours. Find the speedof Hamid and Joseph.|回£2回

Answer»

Let the speed of Joseph = xkm/h

Let the speed of Hamid = ykm/h

When approaching one another, combined speed = (x+y)km/h

Time taken to meet = 30/(x+y) = 1/3 (20 minutes = 1/3 hours)

x+y = 90 ------ (i)

When moving in opposite direction, combined speed = (x-y)m/h

Time taken for Hamid to catch up = 30/(x-y) = 3

x-y = 10 ---- (ii)

Solving (i) and (ii) simultaneously

x+y = 90x-y = 10_______2x = 80x = 40

y = 50

∴ Speed of Joseph =40km/h

Speed of Hamid =50km/h