Speed of boat alone = 40 mph
Let speed of current= c
Let time= t
When boat travels with the current, the speed of the current pushes boat along therefore,
Total speed of boat= speed of boat alone + spXXX XX XXXXXXX= ( 40+c )
Putting this speed in equation (i),
(XX+c) × t = XXX
XXXXXXXXXXX out XXX brackets
40t + XX= XXX (XX’ll XXXX XXXX XXXXXXXX XX)
XXXX XXXX travels against the current, the XXXXX XX XXX current XXXXX XXXX XXXX XXXXXXXXX,
XXXXX XXXXX XX XXXX= speed of boat XXXXXspeed XX XXXXXXX= (XXc)
Again, putting this speed in equation (i),
(XXc ) × t = 126
XXXXXXXXXXX out the XXXXXXXX
40t(we’ll call XXXX XXXXXXXX XXX)
XXXXXXXXX equations XX XXX iii
40t + XX= XXX
XXX
XXXXXXX XXXXX as simultaneous XXXXXXXXX, XX can get XXX XX XXX term ‘ct’ by adding both equations ii and XXX. This XXXXX:
40t + ct= 126
+ 40t
80t = XXX
t=
t=3 XXXXX
XXXXXXXXXX or put ‘t=3 XXXXX’ in XXXXXXXX ii
(40+c)
XXX+ 3c= 126
3c= 126-120
XX= 6
C=
X=X mph
XXXXX XX XXXXXXX= 2mph