A person takes 6 hours to go by car to a certain place and return by b...
Given information:
- The person takes 6 hours to go by car to a certain place and return by bus.
- The person gains 2 hours if he goes both ways by car.
To find:
- How long would he have taken if he had gone by bus both ways?
Assumptions:
- The time taken to travel in one direction is the same for both car and bus.
- The time taken for the return journey is also the same for both car and bus.
Solution:
Let's assume that the time taken to travel one way by car is 'x' hours.
Traveling by car:
- Time taken to go to the place by car = x hours
- Time taken to return from the place by bus = 6 - x hours (as the total time taken for the round trip is 6 hours)
So, the total time taken when traveling by car is:
x + (6 - x) = 6 hours
Traveling by car both ways:
- Time taken to go to the place by car = x hours
- Time taken to return from the place by car = x hours (as the person is going both ways by car)
So, the total time taken when traveling by car both ways is:
x + x = 2x hours
Given that the person gains 2 hours when traveling by car both ways, we have:
2x = 6
x = 3
Therefore, the time taken to travel one way by car is 3 hours.
Traveling by bus both ways:
If the person had gone by bus both ways, the time taken to go to the place by bus would be 3 hours and the time taken to return from the place by bus would also be 3 hours.
Therefore, the total time taken when traveling by bus both ways is:
3 + 3 = 6 hours
Thus, the correct answer is 6 hours.
A person takes 6 hours to go by car to a certain place and return by b...