Question

if one number is a factor of the other then the smaller number is the HCF of the two numbers and the larger number is there LCM verify the statement with help of an example​

Answer 1

Answer:

Let the speed of the stream be skm/hr.

Speed of boat in still water =11km/hr

Speed of boat in upstream =(11−s)km/hr

Speed of boat in downstream =(11+s)km/hr

Distance =12km

Therefore

11−s

12

+

11+s

12

=2

4

3

hr

⇒

(11−s)(11+s)

12(11+s+11−s)

=

4

11

⇒

121−s

2

12×22

=

4

11

⇒

121−s

2

12×2

=

4

1

⇒96=121−s

2

⇒s

2

=25

⇒s=±5

Since speed cannot be negative, we take s=5

Therefore Speed of stream is 5km/hr