Ram 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 an average speed of X km/h.The value of is:
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 48.75
Formula used:
Speed = distance/time ---- (1)
Calculations:
Let the distance be D km
Time taken = D/130
75% of the distance = 75% of D = (3/4)D
Time taken to complete the distance of D km = (D/130) × (2/3) = D/195
Remaining distance = D - (3/4)D = (1/4)D
Time taken by him to cover the remaining distance = (D/130) - (D/195) = D/390
According to the question:
⇒ x = (D/4)/(D/390)
⇒ x = 390/4 = 97.5 km
Hence, The value of x/2 = 97.5/2 = 48.75.