Question 59

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 $$1\frac{1}{4}$$ hours more time. His speed (in km/hr), initially was:

Solution

Let the original speed be 'V' and time taken be 't' hours
Therefore 250/V =t
Now speed=0.8V
Therefore 250/0.8V =t+5/4
250/V =0.8(t+5/4)
t=0.8t+1
0.2t=1
t=5 hours
Original speed V=250/5
=50 km/hr


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