One boat went at a speed of 32 km / h the speed of the other was 4 km less.
September 23, 2021 | education
| One boat went at a speed of 32 km / h the speed of the other was 4 km less. In how many hours would they meet if the distance between the marinas was 240 km?
1) The first step is to determine the speed of the second boat.
32 – 4 = 28.
The second boat was moving at a speed of 28 kilometers per hour.
2) Next, we will compose an equation, where x will be taken as the time spent by the boats until they meet.
x * 32 + x * 28 = 240;
32x + 28x = 240;
60x = 240;
x = 240/60;
x = 4.
Boats will meet in 4 hours after departure.
3) Let’s check the result by substituting it into the initial condition of the problem.
32 * 4 + (32 – 4) * 4 = 240;
128 + 28 * 4 = 240;
128 + 112 = 240;
240 = 240.
Answer: in 4 hours.
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