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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?
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A) 15 km |
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B) 18 km |
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C) 13 km |
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D) 20 km |
Correct Answer:
| D) 20 km |
Description for Correct answer:
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,
\( \Large 4 \left(x+4\right) = 20x \)
\( \Large 4x + 16 = 20x \)
\( \Large 16x = 15 \)
Therefore, \( \Large x = \frac{16}{16} = 1 \)
Difference travelled by Brijesh in 1 h
\( \Large \left(1 \times 20\right) km = 20 km \)
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,
\( \Large 4 \left(x+4\right) = 20x \)
\( \Large 4x + 16 = 20x \)
\( \Large 16x = 15 \)
Therefore, \( \Large x = \frac{16}{16} = 1 \)
Difference travelled by Brijesh in 1 h
\( \Large \left(1 \times 20\right) km = 20 km \)
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