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A can run 220 metres in 41 seconds and B in 44 seconds. By how many seconds will B win if he has 30 metres start?

8 sec
4 sec
2.5 sc
3 sec
Explanation:

B has a start of 30 metre

=> A has to run 220 metre and B has to run $\left(220-30\right)$=190 metre

Given that A takes 41 seconds to cover this 220 metre

B takes 44 seconds to cover 220 metre

$\text{=> B takes }\dfrac{44}{220}\text{ seconds to cover 1 metre}$

$\text{=> B takes }\dfrac{44}{220} \times 190 = \dfrac{4}{20} \times 190 \text{ = 38 seconds to cover 190 metre}$

i.e., A beats B by $\left(41-38\right)$= 3 seconds

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