A boat goes 24 km upstream and bokm downstream in 4 hours. It can ge 32 km upstreem and 64km downstream in same time. Find the speed of the boat in still water and stream.
Answers
Step-by-step explanation:
Let the speed of the stream be x km/hr
Speed of the boat in still water =24 km/hr
Speed of the boat in upstream =(24−x) km/hr
Speed of the boat in downstream =(24+x) km/hr
Distance between the places is 32 km.
Time to travel in upstream =
24–x
d
hr
Time to travel in downstream =
24+x
d
hr
Difference between timings =1 hr
Time of upstream journey = Time of downstream journey +1 hr
Therefore,
24–x
32
=
24+x
32
+1
24–x
32
−
24+x
32
=1
(24−x)(24+x)
768+32x−768+32x
=1
64x=576–x
2
x
2
+64x−576=0
On factoring, we get
(x+72)(x−8)=0
So, x=−72 or 8 (speed of the stream cannot be negative)
Therefore, speed of stream is 8 km/hr.
But it is one hour,It is just an example
Step-by-step explanation:
Let the speed of the stream be x km/hr
Speed of the boat in still water =24 km/hr
Speed of the boat in upstream =(24−x) km/hr
Speed of the boat in downstream =(24+x) km/hr
Distance between the places is 32 km.
Time to travel in upstream =
24–x
d
hr
Time to travel in downstream =
24+x
d
hr
Difference between timings =1 hr
Time of upstream journey = Time of downstream journey +1 hr
Therefore,
24–x
32
=
24+x
32
+1
24–x
32
−
24+x
32
=1
(24−x)(24+x)
768+32x−768+32x
=1
64x=576–x
2
x
2
+64x−576=0
On factoring, we get
(x+72)(x−8)=0
So, x=−72 or 8 (speed of the stream cannot be negative)
Therefore, speed of stream is 8 km/hr.