Question

Train A and B travel to a place at a speed of 35 and 55 k(m)/(h) respectively. If car B takes ( 7)/(2) hours less time than A for the journey, the distance of the place

Answer 1

To find the distance of the place, determine the time taken by each train for the journey. Use the formula distance = speed × time to calculate the distance for each train. Equate the distances to find the value of 't' and calculate the distance using either train's speed and time.

Step-by-step explanation:

To find the distance of the place, we need to determine the time taken by each train for the journey. Let's assume the time taken by Train A is 't' hours. Since Train B takes 7/2 hours less time than Train A, the time taken by Train B is (t - 7/2) hours.

We can use the formula: distance = speed × time.

For Train A, distance = 35 km/h × t hours = 35t km.

For Train B, distance = 55 km/h × (t - 7/2) hours = 55(t - 7/2) km.

Since both trains travel to the same place, the distances should be equal. Therefore, we can equate the distances:

35t = 55(t - 7/2)

Now, solve the equation to find the value of 't' and then calculate the distance using either train's speed and time.