Two trains one from station P to Q, the other from station Q to P start simultaneously with speeds 80 km/h and 95 km/h. If they meet after 12 hours, what is the difference between the distances covered by them?

Correct option is D

Given:

Speed of train from P to Q = 80 km/h.
Speed of train from Q to P = 95 km/h.
Time taken for the trains to meet = 12 hours.
Find the difference in the distances covered by the two trains.

Formula Used:

The distance covered by an object is given by the formula:
​$$\text{Distance} = \text{Speed} \times \text{Time} .$$​​
The difference in distances covered by the two trains is:
​$$\text{Difference} = \text{Distance of Train 2} - \text{Distance of Train 1} .$$​​

Solution:

Calculate the distance covered by each train.
Train 1 (P to Q):
​$$\text{Distance} = \text{Speed} \times \text{Time}\\\ \\\\text{Distance} = 80 \times 12 = 960 \, \text{km} .$$​​
Train 2 (Q to P):
​$$\text{Distance} = \text{Speed} \times \text{Time} \\\ \\\text{Distance} = 95 \times 12 = 1140 \, \text{km} .$$​​

Calculate the difference in distances covered:
Difference = 1140 - 960 = 180 km .
The difference between the distances covered by the two trains is 180 km.