Question 25

The speeds of John and Max are 30 km/h and 40 km/h respectively. Initially, Max is at a place L and John is at a place M. The distance between L and M is 650 km. John started his journey 3 hours earlier than Max to meet each other. If they meet each other at a place P some where between L and M, then the distance between P and M is :

Solution

Distance between LM = 650 km

Distance travelled by John in 3 hours = 30 * 3 = 90 km

=> Remaining distance = 650 - 90 = 560 km

Since, they are moving in opposite direction, => Relative speed = 40 + 30 = 70 km/h

=> Time taken by John and Max to meet at P = $$\frac{560}{70}$$ = 8 hrs

=> Time taken by John to reach P from beginning = 8 + 3 = 11 hrs

$$\therefore$$ Distance travelled by John in 11 hrs = PM = 11 * 30

= 330 km

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