The motor boat is catching up with the raft. Now the distance between them is 35 km.

The motor boat is catching up with the raft. Now the distance between them is 35 km. The speed of the raft is 2.5 km / h, and the speed of the boat is 9.5 km / h. What is the distance between them in t hours, if t = 0.5; 3; 5?

1) Find the speed of approaching the motor boat to the raft:

9.5 – 2.5 = 7 km / h.

2) Let us write an expression that can be used to determine how many kilometers a motor boat approaches the raft in time t:

7t.

3) Let’s compose an expression for finding the distance between the motor boat and the raft in time t:

35 – 7t.

4) Calculate the distance between the boat and the raft in t hours:

at t = 0.5 h.

35 – 7 * 0.5 = 35 – 3.5 = 31.5 (km);

at t = 3 h.

35 – 7 * 3 = 35 – 21 = 14 (km);

at t = 5 h.

35 – 7 * 5 = 35 – 35 = 0 (km).

Answer: 31.5 km; 14 km; 0 km.