⟩ A non stop bus to Amritsar overtakes an auto also moving towards Amritsar at 10 am. The bus reaches Amritsar at 12.30 pm and starts on the return journey after 1 hr. On the way back it meets the auto at 2 pm. At what time the auto will reach Amritsar? a) 2.30pm b) 3.00pm c) 3.15pm d) 3.30pm
Answer:b:3 P.M.
Assumptions:
Distance between two points where Bus meets auto=x
Distance between the point where bus meets auto for the second time and Amritsar=y
velocity of bus=Vb
velocity of auto=va
vb=x/2
va=x/4
y=0.5*vb=05*x/2
time taken by auto for covering the distance y=y/va=1 Hour
hence time at which auto reaches Amritsar=2 P.M.+1 hour=3 P.M.