Question

jacob takes 12 hours to go by bus to certain city and return by train. he would save 2 hours if he travelled both ways by train. find the time he would lose, if he travelled both ways by bus.​

Answer 1

Answer:

If the man uses the bus both the times then he would lose 3 hours

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Step-by-step explanation:

1 hours' work of train and bus = 1/12

1 hours work of train and train = 1/10

1 hours work of only 1 train = 1/20

1 hours work of only 1 bus = 1/12 - 1/20 = 2/60 = 1/30

Time taken for Total work of 1 train = 20 hours

Time taken for Total work of 1 bus = 30 hours

1 hours work of 2 buses = 1/30 + 1/30 = 2/30 = 1/15

Time taken for Total work of 2 buses = 15 hours

Time taken for Work done by bus and bus -Work done by train and bus  = 15-12 = 3 hours

If the man uses the bus both the times then he would lose 3 hours

Answer 2

Given: Jacob takes 12 hours to go by bus to certain city and return by train. He would save 2 hours if he travelled both ways by train.

To find: The time he would lose if he travelled both ways by bus.​

Solution:

Let the time taken by him to travel by train one way be equal to x and let the time taken by him to travel by bus one way be equal to y. According to the question, it takes him 12 hours to go by bus and return by train. This can be represented by the following equation.

x + y = 12

As he saves 2 hours by travelling both the ways by train, it can be represented as follows.

2x = 12 - 2

2x = 10

x = 5

So it takes him 5 hours to travel by train one way. The time taken by him to travel by bus one way is calculated as,

12 - 5 = 7

So the time taken by him to travel both the ways by the bus can be found as follows.

2 * 7 = 14

Now, the time lost is calculated as follows.

14 - 12 = 2

Therefore, the time he would lose if he travelled both ways by bus. is 2 hours.