Bboats A and B leave the same port at the same time, at right angles. Boat B travels at a speed 7km/hr less than boat A. After 4

Question

3 years ago

6

hours, the two boats are 68 km apart. What's the speed of each boat?

1 answer:

Burka [1] · Answer 1 · 2022-04-04T18:38:04+03:00

Answer: speed of boat A is 12 km/h

Speed of boat B is 5 km/h

Step-by-step explanation:

Let x represent the speed of boat B.

If boat B travels at a speed 7km/hr less than boat A, it means that the speed at which boat A travels is

(x + 7) km/h

After 4 hours, the two boats are 68 km apart.

Distance = speed × time

Distance covered by boat A in 4 hours is

4(x + 7)

Distance covered by boat B is

4 × x = 4x

The distance covered by both boats in 4 hours is 68 km. It means that

4x + 4(x + 7) = 68

4x + 4x + 28 = 68

8x + 28 = 68

8x = 68 - 28

8x = 40

x = 40/8

x = 5 km/h

The speed of boat A is

x + 7 = 5 + 7 = 12 km/h