Bunuel wrote:
A man, while driving on a highway at uniform speed, observes his car’s odometer reading just turned to 18992 miles. What is the speed at which the man was driving?
(1) After 5 hours, the odometer reading of the car showed a five-digit palindrome as the total distance travelled (A palindrome is a number which reads the same forward as well as backward).
(2) After 2 hours, the man found that he had travelled less than 80 miles.
\(Speed = \frac{Distance}{Time}\)Question: Speed of car = ?Statement 1:After 5 hours, the odometer reading of the car showed a five-digit palindrome as the total distance travelled (A palindrome is a number which reads the same forward as well as backward)i.e. the odometer after 5 hours could be 19091 or 19191 or 19291 etc
Different distance possible in 5 hours leading to different speeds hence
NOT SUFFICIENT
Statement 2:After 2 hours, the man found that he had travelled less than 80 miles.less than 80 miles will lead to multiple distances (79 or 78 or 78 miles etc) travelled in 2 hours hence
NOT SUFFICIENT
Combining the two statementsIf odometer reading changes from 18992 to 19091
then total distance travelled = 19091 - 18992 = 99 miles
i.e. speed = 99/5 = 19.8 miles/hours i.e. 39.6 miles in 2 hours
If odometer reading changes from 18992 to 19191
then total distance travelled = 19091 - 18992 = 199 miles
i.e. speed = 99/5 = 39.8 miles/hours i.e. 79.6 miles in 2 hours
i.e. different speeds ate acceptable even now hence
SUFFICIENT
Answer: Option C