Aptitude

Question

Two men start together to walk to a certain destination, one at 3 kmph and
another at 3.75 kmph. The latter arrives half an hour before the former. What
is the distance?
A) 6km
B) 7.5km
C) 8km
D) 9.5km

Answer 1

Let the distance be x km and time taken is t.

Now Speed$\times$Time=Distance

First man will cover distance in 3t time.

Since Second man arrives half an hour before the first one so second man will cover the same distance in 3.5(t-1/2)

So 3t=3.75(t-$\frac{1}{2}$)

After solving we get

t=2.5

So the distance is 3$\times$2.5=7.5Km