Bus trip - PS

[karthikpandian19]

A bus trip of 450 miles would have
taken 1 hour less if the average speed S
for the trip had been greater by 5 miles
per hour. What was the average speed S,
in miles per hour, for the trip?
(A) 10
(B) 40
(C) 45
(D) 50
(E) 55

[ankush123251]

Many methods to solve this but the most algebraic one is:
D= S * t

Let s be average speed and t be the initial time without any increase in speed.
So,
450 = S * T

Then,from the given information,

450 = (S+5) * (T-1)
Solve for S from both equations we have S = 45.

Hope this helps....
You can see options and solve directly also by trying the options.For this always start with option E and backwards.

[ankush123251]

Many methods to solve this but the most algebraic one is:
D= S * t

Let s be average speed and t be the initial time without any increase in speed.
So,
450 = S * T

Then,from the given information,

450 = (S+5) * (T-1)
Solve for S from both equations we have S = 45.

Hope this helps....
You can see options and solve directly also by trying the options.For this always start with option E and backwards.

[karthikpandian19]

Thanks,

Is there any other method other than Algebra?

Many methods to solve this but the most algebraic one is:
D= S * t

Let s be average speed and t be the initial time without any increase in speed.
So,
450 = S * T

Then,from the given information,

450 = (S+5) * (T-1)
Solve for S from both equations we have S = 45.

Hope this helps....
You can see options and solve directly also by trying the options.For this always start with option E and backwards.

[ankush123251]

As i said try out the options directly and if you are lucky you can get the answer in 20 seconds!!!

[ankush123251]

As i said try out the options directly and if you are lucky you can get the answer in 20 seconds!!!