Question 1207311
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In the time it takes the car to travel the 126km to town A, the van travels 126-18 = 108km.  So the ratio of the speeds is 126/108 = 7/6.<br>
The distances are the same, so the ratio of the speeds is the same as the ratio of the times.<br>
x = hours for the car to travel the 126km
x+3/8 = hours for the van to travel the 126km<br>
{{{(x+3/8)/x=7/6}}}<br>
{{{7x=6(x+3/8)}}}
{{{7x=6x+18/8}}}
{{{x=18/8 = 9/4}}}<br>
The car travels the 126km in 9/4 hours; the speed of the car is {{{126/(9/4)=126(4/9)=14*4=56}}}<br>
The speed of the car is 56km/h.<br>
The speed of the van is 6/7 of the speed of the car.  {{{(6/7)*56 = 6*8 = 48}}}.<br>
The speed of the van is 48km/h.<br>
ANSWERS:
car: 56km/h
van: 48km/h<br>