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:
195
The correct answer is 195.
Let's verify this relationship: \text{Average Speed} = \frac{S_1 (\frac{2}{3}T) + X (\frac{1}{3}T)}{T} 130 = \frac{T(\frac{2}{3}S_1 + \frac{1}{3}X)}{T} 130 = \frac{2}{3}S_1 + \frac{1}{3}X Substitute S_1 = 146.25 and X = 97.5: 130 = \frac{2}{3}(146.25) + \frac{1}{3}(97.5) 130 = \frac{292.5}{3} + \frac{97.5}{3} 130 = 97.5 + 32.5 130 = 130 This confirms our calculated values for S_1 and X are consistent with the total average speed and the time distribution.
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Important Questions from Relative Speed
- Ankur jogs on a circular track X at $1 \frac{2}{3}$ m/s and Mahima jogs on track Y at $2 \frac{1}{12}$ m/s. The total length of Tracks X and Y is 0.325 km. Ankur makes 9 rounds of track X in the same time Mahima makes 5 rounds of track Y. The time taken (in seconds) by Mahima to complete one round of track X is:
- Two places, A and B are 3710 kms from each other. A train leaves from A to B at the same time another train leaves B to A. The two trains meet at the end of 35 hours. If the train travelling from A to B travels 35 kmph faster than the other. Find the speed of the faster train. (In kmph)
- A truck, 1575 metres long is running at a speed of 109 km/hr. How many seconds will it take to cross a 1475 metres long train running in the same direction at a speed of 79 km/hr?
- A truck, 1600 metres long is running at a speed of 112 km/hr. How many seconds will it take to cross a 1500 metres long train running in the same direction at a speed of 82 km/hr?
- Two friends 10 km apart start running towards each other at speeds of 10 km/hr and 14 km/hr respectively. After how much time will they meet each other?
