SOLUTION: Bill sets out to drive from Swansea to London. An hour after he'd started, he encountered heavy traffic and he was only able to drive at three-fifths of his former speed. He eventu

Question 726240: Bill sets out to drive from Swansea to London. An hour after he'd started, he encountered heavy traffic and he was only able to drive at three-fifths of his former speed. He eventually arrived in London two hours later than he'd expected, and worked out that if he'd not met traffic until fifty miles further on he would have arrived in London forty minutes sooner. How far is it from Swansea to London?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = distance from Swansea to London
Let = his speed for the 1st hour

He now has a distance of to go
He travels at
for time =

He eventually arrived in London two hours later than he'd expected
he would have got there when he expected if his speed was
for the whole distance

-------------
I can say:

Multiply both sides by

------------
Meeting the traffic 50 further on means that he
would travel at a speed of for
a distance =
This is a time of
After the traffic, his time is

I am given that
( 40 min is 2/3 hr )

Multiply both sides by

since ,

answer
There are no units given, so I can't fill these in. ( km? )
Hope I got it

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