## The speed of a boat in still water is x km/hr and speed of the stream is 3 km/hr (i) Write the speed of the upstream, in terms of

Question

The speed of a boat in still water is x km/hr and speed of the stream is 3 km/hr (i) Write the speed of the upstream, in terms of x (ii) Write the speed of the downstream, in terms of x (iii) If the boat goes 15 km upstream and 22 km downstream in 5 hours, write an equation in x to represent the equation in x to represent the statement (iv) Solve the equation to evaluate x

whoever solves it step by step will get brainliest answer

in progress 0
3 months 2021-07-31T15:52:50+00:00 2 Answers 0 views 0

1. Step-by-step explanation:

Living things move, respond to stimuli, reproduce and grow, respire, and are dependent on their environment. Most living things need food, water, light, temperatures within defined limits, and oxygen. … Some non-living things, such as rocks and water, were never living

Let x be the speed of the stream.

⇒ Speed of the boat in still water is 8kmhr

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

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

⇒ The time taken by the boat to cover 15km= 8−x

15 hr

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

According to the question,

⇒ 8−x

15 + 8+x 22

=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

=3 and x=− 5

8

Speed cannot be negative.

∴ The speed of the stream is 3km/hr