1.

1). 1 hour2). 1 hour and 15 minutes3). 1 hour and 30 minutes4). 2 hours

Answer»

Speed of each BOAT in still water = 8 km/hr

Suppose the speed of STREAM is v km/hr.

⇒ Speed of boat that goes upstream = (8 – v) km/hr

And, Speed of boat that goes downstream = (8 + v) km/hr

Suppose the boats meet after T hours.

We know, Distance = Speed × Time

⇒ Distance COVERED by boat moving upstream = (8 - v) km/hr × T hr = (8 - v)T km

⇒ Distance covered by boat moving downstream = (8 + v) km/hr × T hr = (8 + v)T km

Now, total distance covered by boats should be EQUAL to 20 km.

⇒ (8 – v)T + (8 + v)T = 20

⇒ 16T = 20

⇒ T = 1.25 hours = 1 hour + (0.25 × 60 MINUTES) = 1 hour and 15 minutes

∴ Time taken for the boats to meet = 1 hour and 15 minutes



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