The average speed of a car is < s p a n c l a s s = " k a t e x " > < s p a n c l a s s = " k a t e x − m a t h m l " &gt...

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The average speed of a car is <spanclass="katex"><spanclass="katexmathml"><mathxmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mfrac><mn>7</mn><mn>5</mn></mfrac></mrow><annotationencoding="application/xtex">75</annotation></semantics></math></span><spanclass="katexhtml"ariahidden="true"><spanclass="base"><spanclass="strut"style="height:1.1901em;verticalalign:0.345em;"></span><spanclass="mord"><spanclass="mopennulldelimiter"></span><spanclass="mfrac"><spanclass="vlisttvlistt2"><spanclass="vlistr"><spanclass="vlist"style="height:0.8451em;"><spanstyle="top:2.655em;"><spanclass="pstrut"style="height:3em;"></span><spanclass="sizingresetsize6size3mtight"><spanclass="mordmtight"><spanclass="mordmtight">5</span></span></span></span><spanstyle="top:3.23em;"><spanclass="pstrut"style="height:3em;"></span><spanclass="fracline"style="borderbottomwidth:0.04em;"></span></span><spanstyle="top:3.394em;"><spanclass="pstrut"style="height:3em;"></span><spanclass="sizingresetsize6size3mtight"><spanclass="mordmtight"><spanclass="mordmtight">7</span></span></span></span></span><spanclass="vlists"></span></span><spanclass="vlistr"><spanclass="vlist"style="height:0.345em;"><span></span></span></span></span></span><spanclass="mclosenulldelimiter"></span></span></span></span></span><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mfrac><mn>7</mn><mn>5</mn></mfrac></mrow><annotation encoding="application/x-tex">\frac{7}{5}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:1.1901em;vertical-align:-0.345em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.8451em;"><span style="top:-2.655em;"><span class="pstrut" style="height:3em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight">5</span></span></span></span><span style="top:-3.23em;"><span class="pstrut" style="height:3em;"></span><span class="frac-line" style="border-bottom-width:0.04em;"></span></span><span style="top:-3.394em;"><span class="pstrut" style="height:3em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight">7</span></span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.345em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span> times the average speed of a scooter. A truck covers <spanclass="katex"><spanclass="katexmathml"><mathxmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mn>240</mn><mtext> km</mtext></mrow><annotationencoding="application/xtex">240 km</annotation></semantics></math></span><spanclass="katexhtml"ariahidden="true"><spanclass="base"><spanclass="strut"style="height:0.6944em;"></span><spanclass="mord">240</span><spanclass="mordtext"><spanclass="mord"> km</span></span></span></span></span><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mn>240</mn><mtext> km</mtext></mrow><annotation encoding="application/x-tex">240 \text{ km}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.6944em;"></span><span class="mord">240</span><span class="mord text"><span class="mord"> km</span></span></span></span></span> in 55 hours. If the speed of the scooter is <spanclass="katex"><spanclass="katexmathml"><mathxmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mfrac><mn>3</mn><mn>2</mn></mfrac></mrow><annotationencoding="application/xtex">32</annotation></semantics></math></span><spanclass="katexhtml"ariahidden="true"><spanclass="base"><spanclass="strut"style="height:1.1901em;verticalalign:0.345em;"></span><spanclass="mord"><spanclass="mopennulldelimiter"></span><spanclass="mfrac"><spanclass="vlisttvlistt2"><spanclass="vlistr"><spanclass="vlist"style="height:0.8451em;"><spanstyle="top:2.655em;"><spanclass="pstrut"style="height:3em;"></span><spanclass="sizingresetsize6size3mtight"><spanclass="mordmtight"><spanclass="mordmtight">2</span></span></span></span><spanstyle="top:3.23em;"><spanclass="pstrut"style="height:3em;"></span><spanclass="fracline"style="borderbottomwidth:0.04em;"></span></span><spanstyle="top:3.394em;"><spanclass="pstrut"style="height:3em;"></span><spanclass="sizingresetsize6size3mtight"><spanclass="mordmtight"><spanclass="mordmtight">3</span></span></span></span></span><spanclass="vlists"></span></span><spanclass="vlistr"><spanclass="vlist"style="height:0.345em;"><span></span></span></span></span></span><spanclass="mclosenulldelimiter"></span></span></span></span></span><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mfrac><mn>3</mn><mn>2</mn></mfrac></mrow><annotation encoding="application/x-tex">\frac{3}{2}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:1.1901em;vertical-align:-0.345em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.8451em;"><span style="top:-2.655em;"><span class="pstrut" style="height:3em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight">2</span></span></span></span><span style="top:-3.23em;"><span class="pstrut" style="height:3em;"></span><span class="frac-line" style="border-bottom-width:0.04em;"></span></span><span style="top:-3.394em;"><span class="pstrut" style="height:3em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight">3</span></span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.345em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span> times the speed of the truck, then what distance will the car cover in 22 hours?

Options

A.

204.8 km

B.

201.6 km

C.

118.5 km

D.

250.4 km

E.

196.2 km

speeddistanceratioaverage speed

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