B and C are standing on point Q and P respectively, which are 300km apart. A starts moving to and from between Q and P at 25km/hr while A starts moving to and from between P and Q at 35km/hr. What will be the difference between the total distance travelled by B and A when they meet for the 8th time? (in km)
Let Distance is given = 300 km Relative speed = 25 + 35 = 60 kmph So, first time they meet after = 300 /60 = 5 hours Now, in the second time both travelled (300 + 300) km distance and relative speed = 25 + 35 = 60 kmph They meet after 600 /60 = 10 hours Similarly, for the third time, fourth time …8th time they meet after 10 hours in each case. Now, total time = 5 + 7 x 10 = 75 hours Required difference = 35 x 75 - 25 x 75 = 75(35 - 25) = 75 x 10 = 750 km
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