A person covered a distance of 250 km at a certain speed. If his speed is 20% less, he would have covered the same distance in 
hours less time. His speed (in km/hr), initially was:
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 50.
Distance = 250 km
Let the initial speed be x and time taken by t.
Time = Distance/Speed
t = 250/x ...(1
New speed = x - 20% of x = 0.8x
ATQ -
250/0.8x = t + 5/4
250/x = 0.8(t + 5/4)
Putting value of 250/x from eq(1 -
t = 0.8t + 1
0.2t = 1
t = 5 hours
Original speed = 250/5 = 50 km/hr