# Can you find out the distance between the fourth and the first house ?

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In a town, there are four houses located at different distances from each other. Following are the distances:
The third house is 60 km apart from the first house.
The fourth house is 40 km apart from the second house.
The third house is 10 km nearer to the fourth house than it is to the second house.

Can you find out the distance between the fourth and the first house ?

posted Jul 23, 2015

+1 vote

75km

Distance between second and fourth house = 40 km

Distance between the second and third house + Distance between the third and fourth house = 40 km.

Distance between the second and third house + (Distance between the second and third house - 10) = 40 km.

Therefore,
2 * Distance between the second and third house = 50 km
=> Distance between the second and third house = 25 km

Hence, distance between the third and fourth house = 15 km

Distance between the first and fourth village = 60 + 15 = 75 km

+1 vote

distance between first and fourth house is 75 km

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+1 vote

There is a straight highway. Four different villages lie on that highway. The distance between them is different. The third village is 60km away from the first village; the fourth is 40 km away from the second; the third is 10 km near to the fourth that it is to the second.

Can you calculate the distance between the fourth and the first village ?