Question

Валерий вышел из дома и шел на юг 2 часа со скоростью 6 км/ч и 1 час на запад со скоростью 5 км/ч. На каком расстоянии от дома он оказался?

Answer 1

2*6=12(км)

12+5=17(км)

 

Answer 2

2*6=12км

1*5=5км

12+5=17км.

Answer 3

Calculation of Distance Traveled

To calculate the distance Valeriy traveled from his home, we need to consider the time and speed of each leg of his journey. Valeriy walked south for 2 hours at a speed of 6 km/h and then walked west for 1 hour at a speed of 5 km/h.

To find the distance traveled in each direction, we can use the formula:

Distance = Speed × Time

For the southward journey: Distance south = Speed south × Time south = 6 km/h × 2 hours = 12 km

For the westward journey: Distance west = Speed west × Time west = 5 km/h × 1 hour = 5 km

To find the total distance from his home, we can use the Pythagorean theorem, as Valeriy traveled in a right-angled triangle:

Total Distance = √(Distance south^2 + Distance west^2)

Substituting the values we calculated earlier: Total Distance = √(12 km^2 + 5 km^2) = √(144 km^2 + 25 km^2) = √169 km^2 = 13 km

Therefore, Valeriy ended up 13 km away from his home.