Answer:
One way trip was of 157.5 miles.
Step-by-step explanation:
A motorboat in still water travels at a rate of 45 miles per hour.
Velocity of current today = 10 miles per hour
Let distance 'd' is covered in 't' hours by the motorboat in still water.
So the first equation will be
45 =
d = 45t -------------(1)
Now for the second equation
if motorboat travels upstream then the relative velocity of the motorboat will
be = velocity of motorboat in still water - velocity of current
= 45 - 10 = 35 miles/hour
If motorboat travels upstream it takes extra one hour to cover the same distance.
So the equation will be
35 =
d = 35(t + 1) --------------(2)
Now we equate the value of d in both the equations 1 and 2.
35(t + 1) = 45t
35t + 35 = 45t
45t - 35t = 35
10t = 35
t =
t = 3.5 hours
Now we put t = 3.5 in equation 1
d = 45 × 3.5 = 157.5 miles
One way trip was of 157.5 miles.