Birju Ho lives in a town has to travel 3 by 4 of his journey by train 1 by 8 by car 1 by 12 by cart and remaining for km on foot to reach his village how far is his village from the town
Answers
Answer:
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Answer:
The distance between village and town is 24 km
Step-by-step explanation:
Given : Train journey = 3/4 of total
Car journey = 1/8 of total
cart journey = 1/12 of total
foot journey = 1 km
Distance between village to town = ?
Solution : Let D be the distance between village and town
then Train journey = 3/4 of total
= 3/4 x D
Car journey = 1/8 of total
= 1/8 x D
cart journey = 1/12 of total
= 1/12 x D
foot journey = 1 km = total distance - (Train journey + car journey + cart
journey)
= D - (3D/4 + D/8 + D/12)
LCM of 4,8,12 is 24
= D - (3Dx6+Dx3+Dx2)/24
= D - (18D+3D+2D)/24
= D - 23D/24
= D/24
∴ D/24 = 1
D = 24 km