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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 betw…

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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 :
  • A220 km
  • B250 km,
  • C330 km
  • D320 km
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CCommunity
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
0
CCommunity
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