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Two-towns-T-and-S-are-300-km-apart-Two-buses-A-and-B-started-from-T-at-the-same-time-travelling-towards-S-Bus-B-travelling-at-an-average-speed-of-10km-h-greater-than-that-of-A-reached-S-1-1-4-hour




Question Number 66856 by John Kaloki Musau last updated on 20/Aug/19
Two towns T and S are 300 km apart.  Two buses A and B started from  T at the same time travelling towards  S. Bus B, travelling at an average  speed of 10km/h greater than that  of A reached S 1(1/4) hours earlier.  (a) Find the average speed of A  (b) How far was A from T when  B reached S.
$${Two}\:{towns}\:{T}\:{and}\:{S}\:{are}\:\mathrm{300}\:{km}\:{apart}. \\ $$$${Two}\:{buses}\:{A}\:{and}\:{B}\:{started}\:{from} \\ $$$${T}\:{at}\:{the}\:{same}\:{time}\:{travelling}\:{towards} \\ $$$${S}.\:{Bus}\:{B},\:{travelling}\:{at}\:{an}\:{average} \\ $$$${speed}\:{of}\:\mathrm{10}{km}/{h}\:{greater}\:{than}\:{that} \\ $$$${of}\:{A}\:{reached}\:{S}\:\mathrm{1}\frac{\mathrm{1}}{\mathrm{4}}\:{hours}\:{earlier}. \\ $$$$\left({a}\right)\:{Find}\:{the}\:{average}\:{speed}\:{of}\:{A} \\ $$$$\left({b}\right)\:{How}\:{far}\:{was}\:{A}\:{from}\:{T}\:{when} \\ $$$${B}\:{reached}\:{S}. \\ $$
Answered by John Kaloki Musau last updated on 20/Aug/19
The answers are:  (a)44.25km/h  (b)244.69km  Please show me how to   calculate them
$$\boldsymbol{{The}}\:\boldsymbol{{answers}}\:\boldsymbol{{are}}: \\ $$$$\left(\boldsymbol{{a}}\right)\mathrm{44}.\mathrm{25}\boldsymbol{{km}}/\boldsymbol{{h}} \\ $$$$\left(\boldsymbol{{b}}\right)\mathrm{244}.\mathrm{69}\boldsymbol{{km}} \\ $$$$\boldsymbol{{Please}}\:\boldsymbol{{show}}\:\boldsymbol{{me}}\:\boldsymbol{{how}}\:\boldsymbol{{to}}\: \\ $$$$\boldsymbol{{calculate}}\:\boldsymbol{{them}} \\ $$

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