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

Answers ( )

    0
    2021-07-31T15:54:27+00:00

    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

    0
    2021-07-31T15:54:36+00:00

    Answer:

    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

Leave an answer

Browse

9:3-3+1x3-4:2 = ? ( )