Question

In an olympic long jump event, Justin jumps $7.34$ m in first attempt. To qualify for the finals he must reach $9$ m mark. Calculate the distance (in fraction) by which justin is behind the mark?

• A. $1.66\text{m}$
• B. $\frac{83}{50}\text{m}$
• C. $\frac{78}{100}\text{m}$
• D. (a) and (b) above.

Answer 1

The correct option is B $\frac{83}{50}\text{m}$

Distance covered by justin $=7.34$ m
Required distance for qualification in finals $=9$ m
Distance by which justin is behind $=(9-7.34)$ m
$=1.66$ m
But, it is asked to calculate the distance in fraction so on converting 1.66 m into fraction we get,
$\Rightarrow 1.66=\frac{166}{100}\Rightarrow 1.66=\frac{83\times 2}{50\times 2}\Rightarrow 1.66=\frac{83}{50}$

So, distance by which justin is behind the mark is $\frac{83}{50}$ m.