SOLUTION: To reach certain place,A has to drive 10% more distance than B .If B drives at speed which is 20% slower than A ,Determine the ratio of time taken by A to time taken by B to reach

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Question 972288: To reach certain place,A has to drive 10% more distance than B .If B drives at speed which is 20% slower than A ,Determine the ratio of time taken by A to time taken by B to reach destination.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
To reach certain place, A has to drive 10% more distance than B.
If B drives at speed which is 20% slower than A,
Determine the ratio of time taken by A to time taken by B to reach destination.
:
let d = the distance driven by B
then
1.1d = the distance driven by A (travels 10% more)
:
let s = speed driven by A
then
.8s = speed driven by B (20% slower)
:
time = dist/speed
Time ratio A:B: %281.1d%2Fs%29%2F%28d%2F%28.8s%29%29 = 1.1d%2Fs * .8s%2Fd = 1.1 * .8 = .88 (Canceled d and s)
Ratio can be written and then reduced
88%2F100 = 22%2F25 is the time ratio of A To B