A man traveled at 40 kmph. Had he increased his speed by 16 kmph, he would have covered 80 km more in the same time. Find the actual distance travelled?
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Let x be the Orignal Distance
According to the question,
He covered x distance in 40kmph in time t
He covered x + 80 distance in 56kmph in
same time t.
Now,
we know that
Time = Distance ÷ Speed
In first Case, T = x/40 ...eq.01
In second case, T = (x + 80)/56 ...eq.02
Now given time is same so equating both the equations,
x/40 = (x+80)/56
=> x/5 = (x+80)/7
=> x/5 = x/7 + 80/7
=> x/5 - x/7 = 80/7
=> (7x - 5x)/35 = 80/7
=> 2x = 80 × 5
=> 2x = 400
=> x = 200
Therefore the actual distance travelled is 200km (ANS)
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