[1.6 m/sec.] In a 100 metres race. A runs at a speed of 2 metres per seconds. If A gives B a start of 4 metres an

For Competitive Exams

In a 100 metres race. A runs at a speed of 2 metres per seconds. If A gives B a start of 4 metres and still beats him by 10 seconds, find the speed of B.

1.6 m/sec.

4 m/sec.

2.6 m/sec.

1 m/sec.

Explanation:

Speed of A = 2 m/s

$\text{Time taken by A to run 100 m }\dfrac{\text{distance}}{\text{speed}}=\dfrac{100}{2}\text{ = 50 seconds}$

A gives B a start of 4 metres and still A beats him by 10 seconds

=> B runs $\left(100-4\right)$=96 m in $\left(50+10\right)$=60 seconds

$\text{Speed of B = }\dfrac{\text{distance}}{\text{time}}=\dfrac{96}{60}\text{ = 1.6 m/s}$

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