A man drove his car northward,then turned left and drove 10km and again turned left and drove 20km.He found himself 10km west of his starting point.How far did he drive northward initially?
good grief, this is the 5th time the same question has been asked, and it has been answered.
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Here is a related question.
A man left his house and walked 5 miles south, then 5 miles east, then 5 miles north, at which time he was back at his house, and a bear was trying to get in. What color was the bear?
To solve this problem, we can visualize the man's movements using a coordinate system. Let's assume that the man starts at the origin (0,0) and moves in the northward direction.
1. The man initially drives northward, so he moves along the y-axis in the positive direction. Let's assume he drives a distance of "x" kilometers northward.
2. Next, the man turns left and drives 10 km. This means he moves to the west, along the negative x-axis, reaching the point (-10, x).
3. Then, the man turns left again and drives 20 km. This means he moves to the south, along the negative y-axis, ending up at the point (-10, x - 20).
4. Given that the man finds himself 10 km west of his starting point, we can deduce that the x coordinate of his final position is -10. Therefore, we have the equation: -10 = -10, which implies x - 20 = 0.
Solving this equation, we find x = 20.
So the man initially drove 20 km northward.