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A car travels a certain distance taking 7 hrs in forward journey, during the return journey increased speed 12km/hr takes the times 5 hrs.What is the distance travelled
- a)30 kms
- b)210 kms
- c)20 kms
- d)None of these
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
A car travels a certain distance taking 7 hrs in forward journey, duri...
Let the speed of the forward journey = x kmph
Time taken for the forward journey = 7 hrs
The speed of the return journey = x+12 kmph
Time taken for the forward journey = 5 hrs
The distance travelled in both ways are equal.
Time taken for the forward journey = 7 hrs
The speed of the return journey = x+12 kmph
Time taken for the forward journey = 5 hrs
The distance travelled in both ways are equal.
7x = 5(x+12)
7x = 5x+60
7x-5x = 60
2x = 60
x = 60/2 = 30 kmph
The distance travelled = 7x = 7*30 = 210 kms
7x = 5x+60
7x-5x = 60
2x = 60
x = 60/2 = 30 kmph
The distance travelled = 7x = 7*30 = 210 kms
Most Upvoted Answer
A car travels a certain distance taking 7 hrs in forward journey, duri...
Solution:
Let's assume the distance travelled by the car in the forward journey is 'd' km.
Given that the car takes 7 hours to cover this distance at a certain speed.
Let the speed of the car be 's' km/hr.
Therefore, using the formula Speed = Distance/Time, we can write:
s = d/7
During the return journey, the car's speed is increased by 12 km/hr.
So, the new speed of the car is (s + 12) km/hr.
Given that it takes 5 hours to cover the same distance in the return journey.
Using the formula Speed = Distance/Time, we can write:
(s + 12) = d/5
Now, we have two equations:
s = d/7 ----(1)
(s + 12) = d/5 ----(2)
We can solve these equations to find the value of 'd' (distance travelled by the car).
Simplifying equation (1), we get:
7s = d ----(3)
Substituting the value of 'd' from equation (3) into equation (2), we get:
(s + 12) = (7s)/5
5(s + 12) = 7s
5s + 60 = 7s
60 = 2s
s = 30
Substituting the value of 's' into equation (3), we get:
7(30) = d
d = 210
Therefore, the distance travelled by the car is 210 km.
Hence, the correct answer is option 'B' (210 kms).
Let's assume the distance travelled by the car in the forward journey is 'd' km.
Given that the car takes 7 hours to cover this distance at a certain speed.
Let the speed of the car be 's' km/hr.
Therefore, using the formula Speed = Distance/Time, we can write:
s = d/7
During the return journey, the car's speed is increased by 12 km/hr.
So, the new speed of the car is (s + 12) km/hr.
Given that it takes 5 hours to cover the same distance in the return journey.
Using the formula Speed = Distance/Time, we can write:
(s + 12) = d/5
Now, we have two equations:
s = d/7 ----(1)
(s + 12) = d/5 ----(2)
We can solve these equations to find the value of 'd' (distance travelled by the car).
Simplifying equation (1), we get:
7s = d ----(3)
Substituting the value of 'd' from equation (3) into equation (2), we get:
(s + 12) = (7s)/5
5(s + 12) = 7s
5s + 60 = 7s
60 = 2s
s = 30
Substituting the value of 's' into equation (3), we get:
7(30) = d
d = 210
Therefore, the distance travelled by the car is 210 km.
Hence, the correct answer is option 'B' (210 kms).
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