Anil started his journey in the morning. Till 10 a.m., he covered 1/2 of his journey, and on the same day, till 1 p.m., he covered 4/5 of his journey. At what time did he start his journey?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 5.00 a.m.
Formula used
Time × speed = Distance
Let the total distance he covered in his journey be 10D units
By 10 a.m., he covered distance = 10D × (1/2) = 5D units
By 1 p.m., he covered distance = 10D × (4/5) = 8D units
Hence, in (1 p.m. - 10 a.m) = 3 hours, he covered distance = 8D - 5D = 3D units
Thus, his speed = 3D/15 = D units/hour
Now, Time taken to complete the journey = (10D - 8D)/D = 2 hours
Hence, at 3 p.m he complete his journey
total time taken to complete his journey = 10D/D = 10 hours
Thus, he started his journey at = 3 p.m. - 10 hours = 5 a.m.