question_answer

A motor cyclist goes from Mumbai to Pune, a distance of 192 km, at an average speed of 32 km/h. Another man starts from Mumbai by car, \[\frac{21}{2}\]h after the first and reaches Pune half an hour earlier. What is the ratio of the speeds of the motor cycle and the car?

A) 10 : 27             

B) 1 : 3

C) 1 : 2                 

D) 5 : 4

Correct Answer: C

Solution :

Time taken by motor cyclist \[=\frac{192}{32}=6h\]

Time taken by car \[=6-(2.5+0.5)=3\,\,h\]

\[\therefore \]Required ratio\[=3:6=1:2\]