A motor boat whose in still water is 16 km/ hr takes 2 hours more to go 80 km/ hr up stream than to return to the same point find the speed of the stream
Answers
Answer:
ANSWER
Given:
Speed of boat in still water = 18km/hr
Let speed of the stream = s
Speed of boat upstream = Speed of boat in still water - speed of stream = 18−s
Speed of boat down stream = Speed of boat in still water + speed of stream = 18+s
Time taken for upstream = Time taken to cover downstream + 1
⇒
Speed
upstream
Distance
upstream
=
Speed
downstream
Distance
downstream
+1
⇒
18−s
24
=
18+s
24
+1
⇒24(18+s)=24(18−s)+(18−s)(18+s)
⇒s
2
+48s−324=0
⇒s
2
+54s−6s−324=0
⇒(s+54)(s−6)=0
⇒s=6,−54
⇒s
=−54
Thus, s=6km/hr, Speed of steam cannot be negative.
Answer:
Given:
Speed of boat in still water = 18km/hr
Let speed of the stream = s
Speed of boat upstream = Speed of boat in still water - speed of stream = 18−s
Speed of boat down stream = Speed of boat in still water + speed of stream = 18+s
Time taken for upstream = Time taken to cover downstream + 1
⇒
Speed
upstream
Distance
upstream
=
Speed
downstream
Distance
downstream
+1
⇒
18−s
24
=
18+s
24
+1
⇒24(18+s)=24(18−s)+(18−s)(18+s)
⇒s
2
+48s−324=0
⇒s
2
+54s−6s−324=0
⇒(s+54)(s−6)=0
⇒s=6,−54
⇒s
=−54
Thus, s=6km/hr, Speed of steam cannot be negative.