Faisal covered 1/4 of a journey by a train, 2/3 of the same journey by a bus and the rest by a car. How much of the journey did she cover by a car ?
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Given :
- Faisal covered 1/4 of a journey by a train, 2/3 of the same journey by a bus and the rest by a car.
To Find :
- Find how much of the journey did she cover by a car ?
Solution :
- Let us assume :
➣ The journey covered by a car be x.
We have :
- Total journey = 1
- Journey by a train = 1/4
- Journey by a bus = 2/3
- Journey by a car = x
Finding a journey covered by a car :
According to find question :
➣ 1/4 + 2/3 + x = 1
➣ 1/4 + 2/3 = 1 - x
- Taking 12 as LCM in LHS.
➣ (3 + 8)/12 = 1 - x
➣ 11/12 = 1 - x
➣ 11 = 12(1 - x)
➣ 11 = 12 - 12x
➣ 12x = 12 - 11
➣ 12x = 1
➣ x = 1/12
Hence,
- The journey covered by a car = 1/12.
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