Answer:
a. S + (B - R)T b. (R - B)T - S
Step-by-step explanation:
a. Let the position of the first boat be taken as the zero point or origin. Since the first boat moves with a speed of R in time, T, it covers a distance D' = RT to get to the position D'.
The second boat which is ahead at position S, the distance between the piers, moves with a speed of B in time, T, its position after it it covers a distance BT is D" = S + BT.
Since the first boat moves slower than the second boat and the both move in the direction of the first boat, their distance apart D = D" - D' = S + BT - RT = S + (B - R)T
b. Let the position of the first boat be taken as the zero point or origin. Since the first boat moves with a speed of R in time, T, it covers a distance D' = RT to get to the position D'.
The second boat which is ahead at position S, the distance between the piers, moves with a speed of B in time, T, its position after it it covers a distance BT is D" = S + BT.
Since the first boat moves faster than the second boat and the both move in the direction of the first boat, their distance apart D = D' - D" = RT - S + BT = (R - B)T - S.
