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A motor boat whose speed is 18km/h in still water takes1 hours more to go 24km upstream than to return downstream to same spot. Find the speed of the stream.

Posted by Arya Jadav 5 years, 6 months ago

CBSE > Class 10 > Mathematics

1 answers

Moksh Kaushish 5 years, 6 months ago

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.

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