A motorboat covers a distance of 16 km upstream

Asked by admin @ 13/08/2021 in Math viewed by 268 People

A motorboat covers a distance of

16km upstream and 24km downstream in 6 hours. In the same time it covers a distance of 12 km upstream and 36km downstream. Find the speed of the boat in still water and that of the stream.5

Answered by admin @ 13/08/2021

Answer:

ANSWER

Let speed of the boat in still water =x km/hr, and

Speed of the current =y km/hr

Downstream speed =(x+y) km/hr

Upstream speed =(x−y) km/hr

T= S
/D

x+y
/24 + x−y
/16=6 .......(1)

x+y/36 + x−y
/12
=6 .......(2)

Put

x+y =1/u and

x−y =1/v the above equation becomes,

24u+16v=6

Or, 12u+8v=3 ... (3)

36u+12v=6

Or, 6u+2v=1 ... (4)

Multiplying (4) by 4, we get,

24u+8v=4v … (5)

Subtracting (3) by (5), we get,

12u=1

⇒u= 1
/12

Putting the value of u in (4), we get, v= 1
/4

⇒x+y=12 and x−y=4

2x = 16 =>x = 8

and 8 + y = 12 => y = 4

Thus, speed of the boat in still water =8 km/hr

Speed of the boat in stream = 4 km/hr

A motorboat covers a distance of 16km upstream

Asked by admin @ 24/08/2021 in Math viewed by 337 persons

A motorboat covers a distance of 16km upstream and 24km downstream in 6 hours. In the same time it covers a distance of 12 km upstream and 36km downstream. Find …

A boat covers a distance of 2.75 km upstream

Asked by admin @ 23/08/2021 in Physics viewed by 322 persons

A boat covers a distance of 2.75km upstream in 11 minutes

In covering a distance of 30 km abhay takes

Asked by admin @ 20/08/2021 in Math viewed by 362 persons

In covering a distance of 30 km, Abhay takes 2 hours more than sameer. If Abhay doubles his speed is (A) 5kmph (B) 6kmph (C) 6.25kmph (D) 7.5kmph

A motorboat covers a given distance in 6 hours

Asked by admin @ 17/08/2021 in Physics viewed by 302 persons

A motorboat covers a given distance in 6 hrs moving downstream on a river. it covers the same distances in 10 hrs moving upstream the time it takes to cover …

What is the best way to avoid being run over by your own pwc or motorboat?

Asked by maham237 @ 27/11/2020 in Social Studies viewed by 298 persons

wear a USCG-approved life jacket use the PWC's self-circling feature swim away from the boat or PWC if you fall overboard wear an ignition safety switch lanyard

A train travels a distance of 360 km

Asked by admin @ 26/08/2021 in Math viewed by 330 persons

A train travels 360 km at a uniform speed. If the speed had been 5 km/h more, it would have taken 1 hour less for the same journey. Find the …

A train travels a distance of 480 km

Asked by admin @ 24/08/2021 in Math viewed by 311 persons

A train travels a distance of 480 km at a uniform speed if the speed had been 8 km per hour less then it would have taken 3 hours more …

A train covers the first half of the distance

Asked by admin @ 20/08/2021 in Math viewed by 312 persons

A train covers the first half of the distance between two stations at a speed of 40 km/h and the other half at 60 km/h. then its average speed is:

The distance between mumbai and pune is 192 km

Asked by admin @ 20/08/2021 in Math viewed by 289 persons

The distance between mumbai and pune is 192 km travelling by deccan queen it takes 48 minutes less than another train calculate the speed of deccan queen if the speed …

A train covered a certain distance at uniform speed

Asked by admin @ 20/08/2021 in Math viewed by 320 persons

A train covered a certain distance at a uniform speed . if the train would have been 10 km / hr faster , if would have taken 2 hours less …

A train covered a distance at a uniform speed

Asked by admin @ 17/08/2021 in Math viewed by 363 persons

A train covered a certain distance at a uniform speed . if the train would have been 10 km / hr faster , if would have taken 2 hours less …

A body moving with uniform retardation covers 3 km

Asked by admin @ 17/08/2021 in Physics viewed by 315 persons

A body moving with uniform retardation covers 3 km before its speed is reduced to half of its initial value it comes to rest in another distance of

A car covers the first half of the distance

Asked by admin @ 17/08/2021 in Physics viewed by 291 persons

1] a car covers the first half of the distance between two places at a speed of 40 km/h and the second half at 60 km/h .what is the average …

A body covers first 1 3 of the distance

Asked by admin @ 16/08/2021 in Physics viewed by 309 persons

a body covers first 1/3 of distance with a velocity of 20m/s.Second 1/3 with 30m/s and the last one with 40m/s.The average velocity is

A car travelling south covers a distance of 8

Asked by admin @ 12/08/2021 in Math viewed by 334 persons

A car, traveling south, covers a distance of 8 kilometers (km). Then, it turns right and travels another 9km. It turns right again and is stopped. Which direction does it …