The total distance between Ajay's home and his office is 3 1/6 km. He covered first 1/2 km walking and then took a bus. He again walks for 2/3 km to reach his office. What is the distance that Ajay covered by bus?
Answers
Answer:
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Step-by-step explanation:
→ Total distance between ajay's home and his office is 3 1/6 km or 19/6 km
→ He covered ,
→ 1/2 km by walking
→ x km by bus
→ 2/3 km again by walking
→ A.T.Q
→ 1/2 + x/1 + 2/3 = 19/6
→ 1×3/2×3 + x×6/1×6 + 2×2/3×2 = 19/6
→ 3/6 + 6x/6 + 4/6 = 19/6
→ 7 + 6x / 6 = 19/6
→ (7+6x)(6) = 19(6)
→ 42 + 36x = 114
→ 36x = 114 - 42
→ 36x = 72
→ x = 72/36
→ x = 2
→ So, The distance covered by bus by ajay is 2 km.
Answer:
2 Km
Step-by-step explanation:
Total Distance between Ajay's home and office = 3 1/6 = 19/6 Km
Meaning,
Distance Covered after walking + Distance Covered with Bus + Distance Covered after walking again = 19/6 km
Let the Distance travelled with Bus = X
So,
1/2 + x/1 + 2/3 = 19/6
1/2*(3/3) + x/1*(6/6) + 2/3*(2/2) = 19/6 [making fractions Like]
[ * stands for Multiplication]
3+4+6x/6 = 19/6
7+6x/6 = 19/6
6x/6 = 19/6-7/6 [Transposition]
6x/6 = 12/6
6x = 12*6/6 [Transposition]
6x = 72/6 = 12
x = 12/6
x = 2
Therefore, Distance travelled by Bus = 2 km
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