Distance between the office and the home of Alok is 100 Km. One day, he was late by an hour than the normal time to leave for the office, so he increased his speed by 5 Km/hr and reached office at the normal time. What is the changed speed of Alok?
25 Km/hr
20 Km/hr
16 Km/hr
50 Km/hr
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Answer:
25 Km/hr.
Step-by-step explanation:
Knowing the relationship between speed and distance.
Here the distance is constant. However if we write the equation, we get:
s * t = (s + 5) * (t - 1) = 100
In this case, we can identify other constant as the time which Alok took less to cover the distance i.e. 1 hour. So, we can write:
100/s - 100/s+5 = 1 (Difference of time take in both the cases is 1 hour)
=> 100s + 500 - 100s = s(s+5)
=> s(s+5) = 500
Solving we get, s = 20 Km/hr
Therefore, Increased speed = s + 5 = 25 km/hr
the answer is 25 Km/hr.
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