Question

city A to city B is a downstream journey on a stream which flows at a speed of 5km/hr. boats P and Q run a shuttle service between the two cities that are 300kms apart. boat P which starts from city A has a still water speed of 25km/hr. while boat Q which starts from city B at the same time has a still water speed of 15km/hr. when will the two boats meet for the first time and second time respectively.

Answer 1

Answer:

Distance of the first meeting point from A= x

x= 900-3x

x= 225 Km

Time taken to meet for the first time= 225/30 = 7.5hrs

Time take by P to complete first 2 trips= = 25hrs

Time taken by Q to complete first trip = 300/10 =30 hrs > 25

Hence they will meet for the second time when P is completing its second trip, while Q is completing its first.

Distance of the first meeting point from A= y

y=100

Time taken to meet for the second time= = 20 hrs