Question

Two walker set off at the same time from a crossroad and walk along flat straight road inclined to each other at 70° .If they both walk at a speed of 8 kilometers /hour ,find their distance apart 10 minutes later

Answer 1

[AI-generated answer — Bot GPT 3.5]

Given that the walkers are walking at a speed of 8 km/h, in 10 minutes they would have covered a distance of:

Distance = speed x time
Distance = 8 km/h x (10/60) h
Distance = 8 km/h x 1/6 h
Distance = 8/6 km
Distance = 4/3 km
Distance = 1.33 km

Now, let's find the distance apart between the two walkers after 10 minutes. Since they are walking inclined to each other at 70°, we can use the cosine rule to find the distance apart.

Distance apart = √(1.33^2 + 1.33^2 - 2 * 1.33 * 1.33 * cos(70°))
Distance apart = √(1.77 + 1.77 - 3.17 * cos(70°))
Distance apart = √(1.77 + 1.77 - 3.17 * 0.342)
Distance apart = √(3.54 - 1.08)
Distance apart = √2.46
Distance apart ≈ 1.57 km

Therefore, the distance apart between the two walkers after 10 minutes is approximately 1.57 km.