Harry can swim from point A to point B (with the current) in 4 0 m i n and from B to A ( against the current) in 4 5 m i n .
how long does it take him to row from A to B if he row from B to A in 1 5 m i n ?
if the answer is for example 1 2 m i n and 2 1 s e c o n d s write it as 1 2 2 1
(Assume that the speed of the current and Harry’s swimming and rowing speeds relative to the current are all constant.)
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
Let the distance from A to B is 1 , and let x , y , z be the the speeds of the current and Harry's swimming and rowing, respectively. Then
y + x = 4 5 1 = 3 6 0 9 and y − x = 4 5 1 = 3 6 0 8 and z − x = 1 5 1 = 3 6 0 2 4
so
z + x = ( y + x ) − ( y − x ) + ( z − x ) = 3 6 0 9 − 8 + 2 4 = 3 6 0 2 5
so it take harry 2 4 3 6 0 = 1 4 . 4 m i n to row from A to B
which mean 1 4 m i n and 2 4 s e c o n d s
Problem Loading...
Note Loading...
Set Loading...
Let the distance between A and B be d , the river flow, Harry's swimming and rolling speeds be v 0 , v 1 and v 2 respectively, and the time for Harry to row from A to B be t . The we have:
⎩ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎨ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎧ 4 0 ( v 1 + v 0 ) = d 4 5 ( v 1 − v 0 ) = d 1 5 ( v 2 − v 0 ) = d t ( v 2 + v 0 ) = d ⇒ v 1 + v 0 = 4 0 d ⇒ v 1 − v 0 = 4 5 d ⇒ v 2 − v 0 = 1 5 d . . . ( 1 ) . . . ( 2 ) . . . ( 3 ) . . . ( 4 )
⎩ ⎪ ⎪ ⎪ ⎪ ⎪ ⎨ ⎪ ⎪ ⎪ ⎪ ⎪ ⎧ ( 1 ) − ( 2 ) : ( 3 ) : ( 4 ) : 2 v 0 = ( 4 0 1 − 4 5 1 ) d v 2 − 7 2 0 d = 1 5 d t ( 7 2 0 4 9 d + 7 2 0 d ) = d ⇒ v 0 = 7 2 0 d ⇒ v 2 = 7 2 0 4 9 d ⇒ t = 5 0 7 2 0 = 1 4 . 4 = 1 4 : 2 4
Therefore, the required answer is 1 4 2 4 .