A steamer goes downstream from one port to another in 6 hours. It covers the same distance upstream in 7 hours. If the speed of the stream be 2 km/hr, find thespeed of the steamer in still water.

A steamer goes downstream from one port to another in 6 hours. It cove

1.	A steamer goes downstream from one port to another in 6 hours. It covers the same distance upstream in 7 hours. If the speed of the stream be 2 km/hr, find thespeed of the steamer in still water.
Answer» Step-by-step explanation:Steamer goes downstream in 6 HOURS Steamer goes upstream in 7 hours SPEED of the stream = 2 km/hrSpeed of the steamer in still water➟ Here we are given that the steamer covers same DISTANCE downstream and upstream in 6 and 7 hours respectively. ➟ Let the speed of the steamer in still water be x km/hr. ➟ Hence, Speed while travelling upstream = (x - 2) km/hr Speed while travelling downstream = (x + 2) km/hr ➟ Now we know that, Distance = Speed × Time ➟ Hence in the first case, Distance travelled = (x + 2) × 6 ------(1) ➟ Now in the second case, Distance travelled = (x - 2) × 7 ------(2) ➟ From given we know that the LHS of equation 1 and equation 2 are equal. ➟ Hence, 6 (x + 2) = 7 (x - 2) 6x + 12 = 7x - 14 7x - 6x = 12 + 14 x = 26 ➟ But we know that x = Speed of the steamer in still water ➟ Hence speed of the steamer is 26 km/hr.