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I usually take 72 minutes to reach college. On one fateful day, after traveling 13rd of the distance, I realized that I left my ID card at home and returned to pick it up and then went back to college. To reach on time, I increased my speed by 30 kmph from the point I turned back home till the time I reached college. Assuming that no time was lost at home, what is my usual speed?
Options:
A .  20 kmph
B .  30 kmph
C .  10 kmph
D .  15 kmph
E .  33128
Answer: Option B
:
B
Go from answer options .
Take a middle answer option.
Normal speed = 30kmph
Then distance between college and home = 30 ×7260=36 km
Also, since time =72 minutes, Speed = 30 kmph.
Distance travelled before leaving back =13 of 36 =12 km and 24 minutes.
Therefore, time wasted = 24 minutes. Time left to reach = 72 - 24 =48 minutes.
New Speed = 30+30=60 kmph
Distance ot be traveled = 48 km
Time taken =4860×60=48 minutes. Hence answer = option b.

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