Question

Speed of a ship is 8 kmph in still water. It goes downstream from point A to B. After travelling 1/2 of the distance the ship malfunctioned and travelled along the stream and reached point B taking 360 minutes more than the normal time. If the speed of the current is 2 kmph then what is the distance A and B in km?​

Answer 1

Answer:

⇒ Let x be the speed of the stream.

⇒ Speed of the boat in still water is 8km/hr

⇒ The speed of the boat in upstream is 8−km/hr

⇒ The speed of the boat in downstream is 8+x km/hr

⇒ The time taken by the boat to cover 15km=

8−x15 hr

⇒ The time taken by the boat to cover 22km= 8+x22 hr

According to the question,

⇒ 8−x15 + 8+x22 =5

⇒ 15(8+x)+22(8−x)=5(8−x)(8+x)

⇒ 120+15x+176−22x=5(64−x 2 )

⇒ 296−7x=320−5x 2

⇒ 5x 2 −7x−24=0

⇒ 5x 2 −15x+8x−24=0

⇒ 5x(x−3)+8(x−3)=0

⇒ (x−3)(5x+8)=0

⇒ x−3=0 and 5x+8=0

⇒ x=3 and x=− 58

Speed cannot be negative.

∴ The speed of the stream is 3km/hr

Step-by-step explanation:

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