SOLUTION: A train has to go 2640 km. It spent 11 hours more than was planed on half the distance. So in order to get there on time they changed their speed to 60km/h. The question is How l

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: A train has to go 2640 km. It spent 11 hours more than was planed on half the distance. So in order to get there on time they changed their speed to 60km/h. The question is How l      Log On

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Question 948507: A train has to go 2640 km. It spent 11 hours more than was planed on half the distance. So in order to get there on time they changed their speed to 60km/h.
The question is
How long did they plan on spending on the first half of the road?
and how many km/h was its speed for the first half of the road?

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A train has to go 2640 km.
It spent 11 hours more than was planned on half the distance
So in order to get there on time they changed their speed to 60km/h.
The question is How long did they plan on spending on the first half of the road?
and how many km/h was its speed for the first half of the road?
:
let t = time planned for half the trip (1320mi)
then
2t = time planned for the entire trip (2640km)
and
1320%2F60 = 22 hrs is the actual time to travel the 2nd half of the trip
:
1st half time + 2nd half time = Planned time
(t + 11) + 22 = 2t
t + 33 = 2t
33 = 2t - t
t = 33 hrs planned for half the trip
and
"how many km/h was its speed for the first half of the road?"
1320%2F%28%2833%2B11%29%29 = 30 km/hr