Question

It takes Lucas 3 hours to cycle from his home to his friends village but if travels 5 mph slower, it will take him 1.5 hours longer. How far is the friends village from Lucas’s house

Answer 1

Answer:

$Distance=45\ miles$

Step-by-step explanation:

$Let\ distance\ between\ Lucas\ home\ to\ friends\ village=d\\\\Let\ speed\ of\ Lucas's\ cycle=v\\\\Time\ taken=3\ hours\\\\distance=velocity\times time\\\\d=v\times 3\\\\d=3v$

$Now\ if\ speed\ is\ 5mph\ slower\ \Rightarrow\ speed=v-5\\\\Time\ taken=3+1.5=4.5\\\\distance=velocity\times time\\\\d=(v-5)\times 4.5=4.5v-22.5\\\\d=4.5v-22.5$

$d=3v...................eq(1)\\\\d=4.5v-22.5.....eq(2)\\\\1.5\times eq(1)-eq(2)\\\\1.5d-d=1.4\times 3v-4.5v+22.5\\\\0.5d=4.5v-4.5v+22.5\\\\0.5d=22.5\\\\d=\frac{22.5}{0.5}\\\\d=45\ miles$

Answer 2

Answer:

dunno sorry

Step-by-step explanation: