2020 · Q24
By increasing the speed of his car by 15 km/hr, a person covers a distance of 300 km by taking an hour less than before. What was the original speed of the car?
Elementary MathematicsTime, Speed and Distance
- A45 km/hr
- B50 km/hr
- C60 km/hr
- D75 km/hr
Explanation
300/v - 300/(v+15) = 1 gives v^2+15v-4500 = 0, whose positive root is v = 60 km/h. Hence option (C). Check: 300/60 = 5 hours and 300/75 = 4 hours - exactly one hour less, as required.