Question

Calculate Distance Between P and Q
Two trains start from P and Q respectively and travel towards each other at a speed of 50 km/hr and 40 km/hr respectively. By the time they meet, the first train has traveled 100 km more than the second. The distance between P and Q is?

Answer 1

Given, Train P is traveling at 50kmph and Train Q is traveling at 40kmph, when they meet, Train P has traveled 100km more than Train Q.

 

Let x be the distance traveled by Train Q, at 40kmph. Then, the distance traveled by Train P will be x+100km, traveling at 50kmph.

 

Let T be the time in hours traveled by the trains when they meet.

 

Then, 50T = x+100 ---------------(1)

 

And 40T = x. ---------------------- (2)

 

Substituting the value of x = 40T in equation (1), we get

 

50T = 40T + 100

 

Or 10T = 100 or T = 10.

 

Thus, the trains meet after 10 hours of leaving their respective stations.

 

The distance traveled by trains P and Q are 50*10 or 500km and 40*10 or 400km.

 

Therefore, the distance between stations P and Q are 400km+500km = 900km.