Bunuel
What is the average speed for a 300 miles trip?
(1) The average speed for the first 150 miles is 60 miles per hour.
(2) The average speed for the last 200 miles is 75 miles per hour.
Project DS Butler Data Sufficiency (DS3)
For DS butler Questions Click Here Soln:We need \(\frac{300}{T}\) Where T is the total time taken for the trip.
(1) The average speed for the first \(150\) miles is \(60\) miles per hour. We know time for first \(150 \) miles is \(\frac{150}{60}\)
However the time taken for last \(150 \) miles is still unknown.
INSUFF.(2) The average speed for the last \(200\) miles is \(75\) miles per hour.We know time for last \(200 \) miles is \(\frac{200}{75}\)
However the time taken for first \(100 \) miles is still unknown.
INSUFF.1+2
We know first \(150 \) miles time and know last \(200\) miles time , however this adds to \(350 \) miles rather than \(300\) miles.
We are counting \(50 \) miles twice hence we will not get accurate time and not get accurate speed.
If we knew the speed for this \(50\) miles then we could get the correct time.
INSUFF.Ans E