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Tue 1 Feb, 2005 06:01 pm
hi ya i'm new on here
i'm Teresa i'm 22 and just started doing a maths gcse course at my local college i've been doing fine up until now and was just wondering if anyone could help me with a question i'm stuck on.
i'll write it out like it is.
WILLIAM DRIVES FROM GUILDFORD TO CAMBRIDGE, A DISTANCE OF 180 KM. HE DRIVES AT AN AVERAGE SPEED OF 40 KM/HR FOR x HOURS AND 55 KM/HR FOR 2x HOURS.
a) FIND AN EXPRESSION, IN TERMS OF x, FOR THE DISTANCE WILLIAM TRAVELS AT 40 KM/HR.
b) FIND AND EXPRESSION, IN TERMS OF x, FOR THE DISTANCE WILLIAM TRAVELS AT 55 KM/HR
c)(i) FORM AN EQUATION IN x FOR WILIIAMS JOURNEY.
(ii) FIND THE VALUE OF x
d) HOW FAR DOES WILLIAM TRAVEL WHILE HIS AVERAGE SPEED IS 40KM/HR
I hope someone can help i really don't under stand this question at all.
Thanks for you help Teresa x
a) distance = velocity * time = (40 km/hr)(x hours)
b) same as above except distance = (55 km/hr)(2x hours)
c)i) 180 km = (40 km/hr)(x hours) + (55 km/hr)(2x hours)
ii)now just combine the terms on the right side and solve for x: 180=150x...... x = 1.2 hours
d) well he drives at 40 for x hours which was found to be 1.2 hours. once again distance = velocity * time = (40 Km/hr)(1.2 hours) =
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