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Mohan is at the railway station of a certain district. He wants to reach the nearest bus stand. He walked 120 m towards the east,
took a right turn and walked another 100 m. He then took a left turn and walked 30 m. Again, he took a left turn and walked 140
m, where he met his friend and had a conversation. From there, he, finally took a left turn and walked 150 m to reach the bus
stand. How far and in which direction is the bus stand from the railway station?
40 m, North-East
40 m, South
140 m, North
40 m, North
Let’s break down Mohan’s journey step by step:
- He starts at the railway station, walks 120 m east.
- Turns right (now facing south), walks 100 m.
- Turns left (now facing east), walks 30 m.
- Turns left again (now facing north), walks 140 m.
- Meets his friend, then turns left once more (now facing west), walks 150 m to reach the bus stand.
Now, if we calculate where he is:
- His net east/west movement: 120 m (east) + 30 m (east) - 150 m (west) = 0 m (so, directly north or south of start)
- His net north/south movement: 140 m (north) - 100 m (south) = 40 m north of where he started
So, he’s exactly 40 meters north of the railway station, direction North.
Let’s look at the options:
- Option 1: 40 m, North-East (not correct; he went due north)
- Option 2: 40 m, South (he went north, not south)
- Option 3: 140 m, North (wrong distance)
- Option 4: 40 m, North (this lines up perfectly with our calculation)
By: santosh ProfileResourcesReport error
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