A person travelled from a place Z to P at an average speed of 130 km/h. He travelled the first 75% of the distance in two-third of the time and the rest at a constant speed of X km/h. The value of 2X is:
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 195.
Let the person complete the journey in 3 hours
⇒ Total distance = 3 × 130 = 390 km
He completes 75% of the distance in (2/3)rd time i.e 2 hours
75% of the distance = 390 × (75/100) = 292.5 km
Remaining distance = 390 - 292.5 = 97.5 km
The person covers 97.5 km in the remaining time i.e 1 hour
⇒ Speed for 97.5 km = X = 97.5 km/hr
⇒ 2X = 2 × 97.5 = 195