9. A person covered the distance from P to Qata
of 40 kmph. He covered three-fifths of the distance
two-thirds of the total time. At what speed (in kmph)
should he travel to complete the remaining part of the
journey in the remaining time?
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Answer:
Total Speed= 40km/hr
let total distance= x km
Total time= t hr
Thus, total Speed = x km/ t hr
therefore, 40= x/t
x = 40t _____ (#)
Required Speed = Total Speed - Speed required in covering 3x/5 km in 2t/3 hr
Required Speed = x/t - (3x/5) / (2t/3)
= x/t - 3x*3/5*2t
= x/t - 9x/10t
= (10x - 9x ) / 10t
= x/10t
put equation (#) here.
Thus, required Speed = 40t/10t
= 4 km/hr Answer.
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