| Amit walks at a uniform speed of 4 km/h and 4 h after his start, Brijesh cycles after him at the uniform rate of 20 km/h. How far from the starting point will Brijesh catch Amit? |
A) 15 km
B) 18 km
C) 13 km
D) 20 km
E) None of these
Correct Answer: D
Solution :
| Let Brijesh catches Amit after \[x\,\,h,\] |
| Then, distance travelled by Amit in \[(x+4)\,\,h\] |
| = Distance travelled by Brijesh in \[x\,\,h.\] |
| According to the question, |
| \[4\,\,(x+4)=20x\] |
| \[\Rightarrow \] \[4x+16=20x\]\[\Rightarrow \]\[16x=16\] |
| \[\therefore \] \[x=\frac{16}{16}=1\] |
| Distance travelled by Brijesh in |
| \[1\,\,h=(1\times 20)\,\,km=20\,\,km\] |
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